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Lines and Angles

Multiple Choice Questions

191. The exterior angle of a triangle is equal to the sum of two:

Exterior angles
Interior angles
Interior opposite angles
Interior opposite angles

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192.

If the angles of a triangle are in the ratio 5 : 3 : 7, then the triangle is:

an acute angled triangle
an obtuse angled triangle
a right triangle
a right triangle

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193. From the given figure, identify the incorrect statement, given that l || m and t is the transversal:

∠2 and ∠5 are supplementary
∠2 and ∠8 are supplementary
∠2 and ∠3 are supplementary
∠2 and ∠3 are supplementary

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194. In figure, the value of angle q is:

60°
90°
50°
50°

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195. In the figure, if ∠A + ∠B + ∠C + ∠D + ∠E + ∠F = k right angles, then k is:

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Short Answer Type

196. In figure, find the values of x and y and then show that AB || CD.

Solution not provided.

Ans. 140°, 140°, 140°

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197. Let OA, OB, OC and OD be the rays in the anticlockwise direction starting from OA, such that ∠AOB = ∠COD = 100°, ∠AOD = ∠BOC = 80°. Is it true that AOC and BOD are straight lines? Justify your answer by drawing the figure.

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198. In figure, if AB || DC, ∠BDC = 30° and ∠BAD = 80°, find ∠x, ∠y and ∠z.

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199. The side BC of ∆ABC is produced on both sides. Prove that the sum of the two exterior angles so formed is greater than ∠A by 180°.

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200. An angle is equal to five times its supplement. Find the measure of the angle.

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