PQRS is a trapezium in which PQ||SR and ∠P=130°, ∠Q=110°. Then ∠R is equal to:
(a) 70°
(b) 50°
(c) 65°
(d) 55°

Solution:

Given, PQRS is a trapezium in which PQ || SR
The measure of ∠P=130° and ∠Q=110°.

We have to find the measure of ∠R.

We know that the angle between the pair of parallel sides of a trapezium are supplementary.

So, ∠Q + ∠R = 180

110 + ∠R = 180

∠R = 180 - 110

∠R = 70

Therefore, the measure of ∠R is 70 degrees.

✦ Try This: The angles of a quadrilateral PAIR are in the ratio 1:3:5:9. Find the angles.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Problem 48

PQRS is a trapezium in which PQ||SR and ∠P=130°, ∠Q=110°. Then ∠R is equal to: (a) 70° (b) 50° (c) 65° (d) 55°

Summary:

PQRS is a trapezium in which PQ||SR and ∠P = 130°, ∠Q = 110°. Then ∠R is equal to 70°.

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