Question

W
PQRS is a trapezium with PQ || SR. If P = 30°, Q = 50°, find R and S.​

Answer 1

Answer:

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