Question

Worksheet 2
PORS is a trapezium with PQ || SR. If P = 30°, Q = 50°, find R and S.​

Answer 1

Answer:

When PQ||SR, PS is a transversal then

angle P + angle S = 180⁰ (Co-interior angles)

30⁰ + angle S = 180⁰

Angle S = 180⁰ - 30⁰

Angle S = 150⁰

When PQ||SR, QR is a transversal then

angle Q + angle R = 180⁰ (Co-interior angle)

50⁰ + angle R = 180⁰

Angle R = 180⁰ - 50⁰

Angle R = 130⁰