PQRS is a trapezium in
Question:

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

(a) 70o 

(b) 50o 

(c) 65o 

(d) 55o

Solution:

(a) 70o

We know that, the adjacent angles in a trapezium are supplementary.

∠R + ∠Q = 180o

∠R + 110o = 180o

∠R = 180o – 110o

∠R = 70o

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