Class 9 Quiz Level 1 (Easy) – Lines and Angles Leave a Comment / By Gulam Hamza / September 11, 2024 Class 9 Quiz Level 1 (Easy) – Lines and Angles Total questions: 30 1. In the figure, lines AB and CD intersect at O. If angle AOC + angle BOE =70 and angle BOD = 40, find angle BOE and reflex angle COE. Topic: Intersecting Lines and Angles Deselect Answer $\displaystyle {{45}^{{^{\circ }}}}$ $\displaystyle {{30}^{{^{\circ }}}}$ $\displaystyle {{60}^{{^{\circ }}}}$ $\displaystyle {{35}^{{^{\circ }}}}$ None 2. Find the measure of an angle which is 36° more than its complement. Topic: Complementary AnglesDeselect Answer 63° 45° 78° 33° None 3. As shown in the figure find x and y if $\displaystyle \angle ACB=100{}^\circ ,\angle ADE={{120}^{{^{\circ }}}}$ Topic: Angle Relationships in Triangles and Lines Deselect Answer $\displaystyle x={{80}^{{^{\circ }}}}\text{ and }y={{40}^{{^{\circ }}}}$ $\displaystyle x={{50}^{{^{\circ }}}}\text{ and }y={{40}^{{^{\circ }}}}$ $\displaystyle x={{80}^{{^{\circ }}}}\text{ and }y={{60}^{{^{\circ }}}}$ $\displaystyle x={{80}^{{^{\circ }}}}\text{ and }y={{90}^{{^{\circ }}}}$ None 4. In Fig , $\displaystyle \angle PQR=\angle PRQ,\text{ then prove that }\angle PQS=\angle PRT.$ Topic: Properties of Isosceles Triangles Deselect Answer $\displaystyle \angle PQS=\angle PRT$ $\displaystyle \angle PQR=\angle PRQ$ $\displaystyle \angle PWR=\angle PRQ$ $\displaystyle \angle PQR=\angle PQS$ None 5. In the figure lines XY and MN intersect at O. If angle POY = $\displaystyle {{90}^{{^{\circ }}}}$ and a : b = 2 : 3, what is the value of c. Topic: Intersecting Lines and AnglesDeselect Answer $\displaystyle {{90}^{{^{\circ }}}}$ $\displaystyle {{60}^{{^{\circ }}}}$ $\displaystyle {{126}^{{^{\circ }}}}$ $\displaystyle {{130}^{{^{\circ }}}}$ None 6. Find the supplement of the following angle: $\displaystyle {{90}^{\circ }}$ Topic: Supplementary AnglesDeselect Answer $\displaystyle {{45}^{\circ }}$ $\displaystyle {{60}^{\circ }}$ $\displaystyle {{90}^{\circ }}$ $\displaystyle {{70}^{\circ }}$ None 7. Two complementary angles are in the ratio 4:5. Find the angles. Topic: Complementary AnglesDeselect Answer 10°, 80° 20°, 70° 30, 60° 40°, 50° None 8. If the angle (2𝑥−10)° and ( 𝑥−5)° are complementary angles, find 𝑥. Topic: Complementary AnglesDeselect Answer 45° 35° 105° 75° None 9. In the given figure, if PQ∥RS, ∠MXQ=135° and ∠MYR=40° ,then the value of ∠XMY is Topic: Properties of Parallel Lines and Angles Deselect Answer 35° 85° 75° 45° None 10. Compute the value of 𝑥 in the given figure. Topic: Angle Calculation Deselect Answer 40° 50° 60° 45° None 11. An angle is 14° more than its complementary angle, then angle is : Topic: Complementary AnglesDeselect Answer 14° 38° 50° 52° None 12. In figure, if AB∥DE,∠BA C= 35° and ∠CDE= 53° ,∠DCE = ? Topic: Angles with Parallel Lines Deselect Answer 106° 92° 105° 15° None 13. Compute the value of 𝑥 in the given figure. Topic: Angle Calculation Deselect Answer 44° 45° 35° 65° None 14. OA and OB are opposite rays. If 𝑥=75°,what is the value of 𝑦? Topic: Opposite Rays Deselect Answer 25° 125° 105° 95° None 15. If two angles are complementary of each other, then each angle is : Topic: Complementary AnglesDeselect Answer An Obtuse angle A Right angle An Acute angle A supplementary angle. None 16. If the supplement of an angles is three times its complement, then the angle is ? Topic: Supplementary and Complementary AnglesDeselect Answer 45° 40° 80° 70° None 17. Angle between the hours and minute hand of a clock at 11 :15 is - Topic: Clock AnglesDeselect Answer 90° 112.5° 120° 80° None 18. The supplementary angle of the complementary of 30° is: Topic: Supplementary and Complementary AnglesDeselect Answer 60° 120° 30° 150° None 19. If ℓ is any given line and P is any point not lying on ℓ, then the number of parallel lines than can through P, parallel to ℓ would be : Topic: Parallel LinesDeselect Answer One Two Infinite None of these None 20. In figure, sides QP and RQ of △PQR are produced to points S and T respectively. If ∠SPR=135° and ∠PQT=110°,∠PRQ= ? Topic: Angles in Triangles Deselect Answer 85° 75° 65° 95° None 21. Compute the value of 𝑥 in the given figure. Topic: Angle Calculation Deselect Answer 88° 44° 100° 120° None 22. If two parallel lines are intersected by transversal then the bisectors of the interior angles form a : Topic: Angle Bisectors of Parallel LinesDeselect Answer Rhombus ∥gm Square Rectangle None 23. Two parallel lines have : Topic: Properties of Parallel LinesDeselect Answer A common point Two common points No common point Infinite common points None 24. In △PQR, sides PQ and PR are extended to S and T respectively. OQ and OR are bisector of ∠RQS and ∠QRT meeting at O , select the correct option Topic: Angle Bisectors in Triangle Deselect Answer 2∠QOR=∠PQR+∠QRP 4∠QOR=∠PQR+∠QRP 2∠QOR=∠PQR-∠QRP 8∠QOR=∠PQR-∠QRP None 25. In the given figure, ∠Q>∠R, PA is the bisector of ∠QPR and PM⊥QR, select the correct option. Topic: Angle Bisectors and Perpendiculars in Triangles Deselect Answer ∠APM = $\displaystyle \dfrac{1}{2}$(∠P−∠R) ∠APM = $\displaystyle \dfrac{1}{2}$(∠Q−∠R) ∠APM = $\displaystyle \dfrac{1}{2}$(∠R−∠R) ∠APM = $\displaystyle \dfrac{1}{2}$(∠S−∠R) None 26. The angles of a triangle are ( 𝑥 − 40)° ,( 𝑥 − 20)° and ($\displaystyle \dfrac{1}{2}$𝑥 −10)°. Then the value of 𝑥 is Topic: Angles in TrianglesDeselect Answer 95° 100° 50° 60° None 27. In Fig., the side QR of ΔPQR is produced to a point S. If the bisectors of ∠PQR and ∠PRS meet at point T, then ∠QTR=$ \displaystyle \dfrac{1}{2}$ ∠QPR. Topic: Exterior Angle Bisectors of a Triangle Deselect Answer ∠QTR=$ \displaystyle \dfrac{1}{2}$ ∠QPR ∠QTR=$ \displaystyle \dfrac{1}{2}$ ∠QRP ∠QSR=$ \displaystyle \dfrac{1}{2}$ ∠QPR ∠PQR=$ \displaystyle \dfrac{1}{2}$ ∠QPR None 28. In the adjoining figure PQ∣∣RS find 𝑥 = and y. Topic: Parallel Lines and Angles Deselect Answer 𝑥 = 55°, y = 40° 𝑥 = 85°, y = 25° 𝑥 = 75°, y = 35° 𝑥 = 45°, y = 45° None 29. OA and OB are opposite rays. If 𝑦=110°, what is the value of 𝑥? Topic: Opposite Rays Deselect Answer 90° 50° 80° 70° None 30. A triangle can have: Topic: Properties of TrianglesDeselect Answer Two right angles Two obtuse angle all angles more than 60º Two acute angles None 1 out of 30 Time's up
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