Question 26
Triangles and QuadrilateralsIn the diagram above, PQ||ST and ∠PQR = 120°. ∠RST = 130°. Find the angle marked x
- A.50°
- B.65°
- C.70°
- D.80°
Show the answer and explanation
Answer: C (70°)
Explanation
Draw a line through R parallel to PQ. The angles it makes with RQ and RS are 180° − 120° = 60° and 180° − 130° = 50°. So x = 180° − 60° − 50° = 70°.