Question

PORS is a trapezium with PQ || SR. If ZP = 30°, ZQ = 50°, find ZR and ZS.
1.​

Answer 1

Step-by-step explanation:

Since PQ||SR, and PS is transversal then

∠P+∠S=180

∘

(sum of consecutive interior angles on the same of transversal is 180

∘

)

30

∘

+∠S=180

∘

∠S=180

∘

−30

∘

∠S=150

∘

Since PQ||SR , and QR is transversal then

∠Q+∠R=180

∘

(sum of consecutive interior angles on the same side of transversal is 180

∘

)

50

∘

+∠R=180

∘

∠R=180

∘

−50

∘

∠R=130

∘

solution