Angles Practice Test Question Answers (Elementary Geometry)
Last Updated on May 22, 2024
Angles Practice Test Question Answers (Elementary Geometry)
When the sum of the measures of two angles is 90°, the angles are called complementary angles. Each of them is called the complement of the other. Two angles are called adjacent angles if they have a common vertex and a common arm but no common interior points. When the sum of the measures of two angles is 180°, the angles are called supplementary angles. Each of them is called a supplement of the other.
When two lines are intersected by a transversal, eight angles are formed. These angles can be classified as 4 interior angles, 4 exterior angles, 4 pairs of corresponding angles, 2 pairs of alternate interior angles, 2 pairs of alternate exterior angles, and two pairs of interior angles on the same side of the transversal.
1. In the following a pair of corresponding angles is
🔘 A. ∠1, ∠2
🔘 B. ∠2, ∠2
🔘 C. ∠3, ∠6
🔘 D. ∠4, ∠5
🔘 E. ∠3, ∠7
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Answer:∠3, ∠7
2. In the following figure AB||EF, ED||CB and ∠APE is 39°. Find ∠CQF.
🔘 A. ∠CQF= 28^{0}
🔘 B. ∠CQF= 39^{0}
🔘 C. ∠CQF= 93^{0}
🔘 D. ∠CQF= 139^{0}
🔘 E. ∠CQF= 141^{0}
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Answer:∠CQF= 141^{0} (Since ED||BC and AB is a transversal, so so ∠QBP = ∠APE
[Corresponding angles] or ∠QBP = 39° Now, AB||EF and BC is a transversal. Therefore, ∠FQB = ∠QBP [Alternate interior angles] Also, ∠CQF + ∠FQB = 180° [Linear pair] ∠CQF = 180° – 39°
3. Out of a pair of complementary angles, one is two-third of the other. Find the angles.
🔘 A. 18°
🔘 B. 36°
🔘 C. 54°
🔘 D. 90°
🔘 E. 180°
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Answer:B. 36° Let one angle be x. So, other angle = 90° – x Thus,
(2/3)× x = 90° – x or 5x = 270° or x=54° So, one angle = 54° and the other angle = 90° – 54°= 36°.
4. In the following figure CD intersects the line AB at F, ∠ CFB = 50° and ∠ EFA = ∠ AFD. Find the measure of ∠ EFC.
🔘 A. 50°
🔘 B. 80°
🔘 C. 90°
🔘 D. 120°
🔘 E. 180°
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Answer:B 80° Solution (∠CFB = ∠AFD (Vertically opposite angles) So, x = 50° But ∠EFA = ∠AFD which gives ∠EFA = 50° Now ∠CFB + ∠EFA + ∠EFC = 180° or, 50° + 50° + ∠EFC = 180° Thus, ∠EFC = 80°. [As AB is a straight line].
5. If the complement of an angle is 79°, then the angle will be of
🔘 A. 1°
🔘 B. 10°
🔘 C. 11°
🔘 D. 111°
🔘 E. 110°
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Answer: C C. 11°
6. In the following figure find the value of x is
🔘 A. 46°
🔘 B. 90°
🔘 C. 100°
🔘 D. 110°
🔘 E. 150°
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Answer:E. 150° (Sum of all angle about a point given in the figure are equal to 360° Then, 100o + 46o + 64o + x = 360°)
7. In the following figure if AB || CD, ∠ APQ = 50° and ∠PRD = 130°, then ∠ QPR is
🔘 A. 20°
🔘 B. 50°
🔘 C. 80°
🔘 D. 90°
🔘 E. 130°
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Answer: C. 80° (Hints: ∠APQ + ∠QPR = 130° )
8. If angle A and angle B are supplementary and the measure of angle A is 60°, then the measure of angle B is
🔘 A. 30°
🔘 B. 60°
🔘 C. 80°
🔘 D. 90°
🔘 E. 120°
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Answer:E. 120° (Hinsta P + Q = 180°)
9. The measure of an angle which is four times its supplement is
🔘 A. 36°
🔘 B. 90°
🔘 C. 110°
🔘 D. 120°
🔘 E. 144°
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Answer:E. 144° ( supplement angle = (180° – x) or x = 4 (180° – x)
10. In the following figure find the value of y
🔘 A. 10°
🔘 B. 20°
🔘 C. 33°
🔘 D. 45°
🔘 E. 60°
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Answer:B. 20° (sol: Sum of all angle about a straight line given in the figure are equal to 180°
Then, 6y + y + 2y = 180° or 9y = 180°) or y=20°
Angles Practice Test Question Answers [PDF Worksheet]