Question

3. PQRS is an isosceles trapezium. If ∠P=50o
a) What is the measure of ∠Q ?
b) what is the measure of angle R?

Answer 1

Answer:

Given that: PQRS is an isosceles trapezium,

Hence, PS=RQ and ∠P = ∠Q

∠SRP = 30

∘

and ∠PQS = 40

∘

To find : ∠RPQ and ∠RSQ

Proof:∠RPQ= ∠RSQ = 30

∘

(Alternate angles, PQ∥SR)

∠RSQ = ∠PRS = 40

∘

(Alternate angles, PQ∥SR)

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