CBSE Class 7 Maths – MCQ and Online Tests – Unit 5 – Lines and Angles
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CBSE Class 7 Maths – MCQ and Online Tests – Unit 5 – Lines and Angles
Question 1.
The measure of the complement of the angle 46° is
(a) 90°
(b) 44°
(c) 16°
(d) 136°
Answer
Answer: (b) 46°
Hint:
Complementary angle = 90 – given angle
? Complement of 46 = 90 – 46 = 44
Question 2.
The sum of the measures of two supplementary angles is
(a) 90°
(b) 180°
(c) 360°
(d) none of these
Answer
Answer: (b) 180°
Hint:
Definition of supplementary angles.
Question 3.
The sum of the measures of two complementary angles is
(a) 180°
(b) 60°
(c) 45°
(d) 90°
Answer
Answer: (d) 90°
Hint:
Definition of complementary angles
Question 4.
The measure of the complement of the angle 30° is
(?) 30°
(b) 16°
(c) 60°
(d) 160°
Answer
Answer: (c) 60°
Hint:
90° – 30° = 60°.
Question 5.
When the sum of the measures of two angles is 90°, the angles are called
(?) supplementary angles
(b) complementary angles
(c) adjacent angles
(d) vertically opposite angles
Answer
Answer: (b) complementary angles
Hint:
Definition of complementary angles
Question 6.
Which of the following statements is true?
(a) Two acute angles can be complementary to each other
(b) Two obtuse angles can be complementary to each other
(c) Two right angles can be complementary to each other
(d) One obtuse angle and one acute angle can be complementary to each other
Answer
Answer: (a) Two acute angles can be complementary to each other
Question 7.
What is the measure of the complement of the angle 80°?
(a) 10°
(b) 100°
(c) 36°
(d) 20°
Answer
Answer: (a) 10°
Hint:
90° – 80° = 10°.
Question 8.
Which pair of the following angles are complementary?
Answer
Answer: (a)
Hint:
60°+ 30° = 90°.
Question 9.
Which of the following pairs of angles is not a pair of complementary angles?
(a) 60°, 30°
(b) 66°, 34°
(c) 0°, 90°
(d) 160°, 30°
Answer
Answer: (d) 160°, 30°
Hint:
150° + 30° = 180° ? 90°.
Question 10.
What is the measure of the complement of the angle 90°?
(?) 90°
(b) 0°
(c) 180°
(d) 46°
Answer
Answer: (b) 0°
Hint:
90° – 90° = 0°.
Question 11.
When the sum of the measures of two angles is 180°, the angles are called
(a) adjacent angles
(b) complementary angles
(c) vertically opposite angles
(d) supplementary angles
Answer
Answer: (d) supplementary angles
Hint:
Definition of supplementary angles.
Question 12.
The measure of the angle which is equal to its complement is
(a) 30°
(b) 60°
(c) 46°
(d) 90°
Answer
Answer: (c) 46°
Hint:
x° + x° = 90° ? x° = 45°.
Question 13.
The measure of the supplement of the angle 120° is
(a) 30°
(b)45°
(c) 60°
(d) 90°
Answer
Answer: (c) 60°
Hint:
180° – 120° = 60°.
Question 14.
Which of the following statements is true?
(a) Two acute angles can be supplementary.
(b) Two right angles can be supplementary.
(c) Two obtuse angles can be supplementary.
(d) One obtuse angle and one acute angle cannot be supplementary
Answer
Answer: (b) Two right angles can be supplementary.
Question 15.
Which of the following pairs of angles is not a pair of supplementary angles?
(a) 90°, 90°
(b) 32°, 58°
(c) 0°, 180°
(d) 76°, 104°
Answer
Answer: (b) 32°, 58°
Hint:
32° + 58° = 90° ? 180°.
Question 16.
What is the measure of the supplement of the angle 0°?
(a) 45°
(b) 90°
(c) 120°
(d) 180°
Answer
Answer: (d) 180°
Hint:
180° – 0° = 180°.
Question 17.
Which pair of the following angles are not supplementary?
Answer
Answer: (d)
Hint:
120° + 90° = 210° ? 180°.
Question 18.
The measure of the supplement of the angle 90° is
(a) 45°
(b) 60°
(c) 30°
(d) 90°
Answer
Answer: (d) 90°
Hint:
180° – 90° = 90°.
Question 19.
The measure of the angle which is equal to its supplement is
(a) 30°
(b) 45°
(c) 90°
(d) 60°
Answer
Answer: (c) 90°
Hint:
x° + x° = 180° ? x° = 90°.
Question 20.
The measure of the supplement of the angle 179° is
(a) 1°
(b) 2°
(c) 3°
(d) 4°
Answer
Answer: (a) 1°
Hint:
180° – 179° – 1°.
Question 21.
Which of the following statements is true?
(a) Two adjacent angles can be complementary.
(b) Two adjacent angles cannot be supplementary
(c) An acute angle cannot be adjacent to an obtuse angles.
(d) Two right angles cannot be adjacent angles
Answer
Answer: (a) Two adjacent angles can be complementary.
Question 22.
The angles in a linear pair are
(a) complementary
(b) supplementary
(c) not adjacent angles
(d) vertically opposite angles
Answer
Answer: (b) supplementary
Hint:
Definition of a linear pair of angles.
Question 23.
Which of the following statements is true?
(a) Two acute angles can form a linear pair.
(b) Two obtuse angles can form a linear pair
(c) Two right angles can form a linear pair
(d) One obtuse angle and one acute angle cannot form a linear pair
Answer
Answer: (c) Two right angles can form a linear pair
Question 24.
Which of the following pairs of angles form a linear pair?
Answer
Answer: (a)
Hint:
120° + 60° = 180°.
Question 25.
Which of the following statements is false?
(a) When a transversal cuts two parallel lines, each pair of corresponding angles are equal.
(b) When a transversal cuts two parallel lines, each pair of alternate interior angles are equal.
(c) When a transversal cuts two parallel lines, each pair of interior angles on the same side of the transversal are supplementary.
(d) A transversal cuts two parallel lines in three points
Answer
Answer: (d) A transversal cuts two parallel lines in three points
Question 26.
In the following figure, ? AOB and ? BOC are
(a) complementary angles
(b) supplementary angles
(c) adjacent angles
(d) none of these
Answer
Answer: (d) none of these
Question 27.
In the following figure, reflex ? AOB is equal to
(a) 60°
(b) 120°
(c) 300°
(d) 360°
Answer
Answer: (c) 300°
Hint:
?AOB = 360° – 60° = 300°.
Question 28.
The sum of the measures of the angles in a linear pair is
(a) 90°
(b) 180°
(c) 360°
(d) none of these
Answer
Answer: (b) 180°
Hint:
Definition of a linear pair of angles.
Question 29.
Which of the following statements is false?
(a) Two vertically opposite angles can be acute
(b) Two vertically opposite angles can be obtuse
(c) Two vertically opposite angles can be right angles
(d) Two vertically opposite angles may be unequal
Answer
Answer: (d) Two vertically opposite angles may be unequal
Question 30.
Which of the following statements is false?
(a) When a transversal cuts two lines, such that pairs of corresponding angles are equal, then the lines have to be parallel.
(b) When a transversal cuts two lines such that pairs of alternate interior angles are equal, then the lines have to be parallel.
(c) When a transversal cuts two lines such that pairs of interior angles on the same side of the transversal are supplementary, then the lines have to be parallel.
(d) When a transversal cuts two lines such that pairs of interior angles on the same side of the transversal are complementary, then the lines have to be parallel
Answer
Answer: (d) When a transversal cuts two lines such that pairs of interior angles on the same side of the transversal are complementary, then the lines have to be parallel
Question 31.
See the figure of Q. 32 above. Which pair of angles are alternate interior angles?
(a) ?1, ?5
(b) ?2, ?6
(c) ?3, ?7
(d) ?3, ?5
Answer
Answer: (d) ?3, ?5
Hint:
Definition of alternate interior angles.
Question 32.
In the following figure, a transversal cuts two parallel lines l and m at points G and H respectively and the angles thus formed are marked. If ?1 is an acute angle, then, which of the following statements is false?
(?) ?1 + ?2 = 180°
(b) ?2 + ?5 = 180°
(c) ?3 + ?8 = 180°
(d) ?2 + ?6 = 180°.
Answer
Answer: (d) ?2 + ?6 = 180°
Hint:
?2 = ?6, corresponding angles.
Question 33.
In the following figure, a transversal c intersects two parallel lines a and b at A and B respectively and the angles formed at A and B are marked. Tell which of the following pairs of angles need not be equal?
(a) ?1, ?2
(b) ?1, ?3
(c) ?1, ?5
(d) ?2, ?8
Answer
Answer: (a) ?1, ?2
Hint:
?1, ?2 simply make a linear pair.
Question 34.
Which of the following pairs of angles are not adjacent angles?
Answer
Answer: (d)
Question 35.
Find the measure of the angle which is double of its complementary angle?
(a) 60°
(b) 30°
(c) 45°
(d) 120°
Answer
Answer: (a) 60°
Hint:
x° = 2(90° – x°) ? x° = 60°.
Question 36.
Find the measure of the angle which is half of its supplementary angle?
(a) 60°
(b) 120°
(c) 90°
(d) 45°
Answer
Answer: (a) 60°
Hint:
x° = \(\frac { 1 }{ 2 } \)(180° – x°) ? x° = 60°.
Question 37.
In the following figure, if ?1 + ?3 = 120°, then ?2 + ?4 is equal to
(a) 60°
(b) 120°
(c) 240°
(d) 80°
Answer
Answer: (c) 240°
Hint:
?2 + ?4 = 360°- (?1 + ?3) = 360°- 120° = 240°
Question 38.
In the following figure, if ?1 + ?2 = 100°, then the measure of ?4 is equal to
(a) 50°
(b) 100°
(c) 80°
(d) 130°
Answer
Answer: (d) 130°
Hint:
?1 = ?2; ?1 + ?2 = 100°
? ?1 = 50°
? ?4 = 180° – 50° = 130°.
Question 39.
In the following figure, ?1 + ?2 + ?3 = 230°, then the measure of ?4 is equal to
(a) 130°
(b) 80°
(c) 65°
(d) 90°
Answer
Answer: (a) 130°
Hint:
? 4 = 360° – 230° = 130°.
Question 40.
In the following figure EF || GH. Then, the measure of ?x is equal to
(a) 30°
(b) 45°
(c) 60°
(d) 40°
Answer
Answer: (a) 30°
Hint:
(x + 30°) + 120° = 180° ? x = 30°.
Question 41.
In the following figure, l || m. Find the measure of ? x.
(a) 60°
(b) 45°
(c) 30°
(d) none of these
Answer
Answer: (a) 60°
Hint:
x + x + 60° = 180° ? x = 60°.
Question 42.
In the following figure, AB || DG and BC || EF. Also, ?ABC = 60°. Then, the measure of ?DEF is
(a) 30°
(b) 60°
(c) 45°
(d) 120°
Answer
Answer: (b) 60°
Hint:
?DEF = ?DGC = ?ABC = 60°.
Question 43.
Find the value of x in the following figure, if l || m.
(a) 30°
(b) 45°
(c) 60°
(d) none of these
Answer
Answer: (c) 60°
Hint:
x + 120° = 180° ? x = 60°.
Question 44.
In the following figure, two straight lines AB and CD are intersecting each other at the point 0 and the angles thus formed at 0 are marked, then the value of ?x – ?y is
(a) 56°
(b) 118°
(c) 62°
(d) 180°
Answer
Answer: (a) 56°
Hint:
?x – ?y = (180° – 62°) – 62° = 118° – 62° = 56°.
Question 45.
In the following figure, tell which pair of angles are not corresponding angles?
(a) ?1, ?5
(b) ?2, ?6
(c) ?3, ?7
(d) ?3, ?5
Answer
Answer: (d) ?3, ?5
Hint:
?3, ?5 are alternate interior angles.
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