Question 30
Triangles and QuadrilateralsIn the diagram above, PQ‖ST, PQR = 34°, QRS = 73° and RS = RT. Find SR̂T.
- A.68°
- B.102°
- C.90°
- D.35°
Show the answer and explanation
Answer: B (102°)
Explanation
Draw a line through R parallel to PQ. It splits the 73° at R into 34° (alternate to PQR) and 39°, so angle RST = 39°. RS = RT makes angle RTS = 39° too, so SRT = 180° − 78° = 102°.