PSLE In the figure, PQS and UTS are straight lines and TQ is parallel to SR. ∠TUP is a right angle, ∠UPQ = 55°, ∠PQR = 124° and ∠STQ = 64°.
- Find ∠PQT.
- Find ∠QRS.
(a)
∠PSU
= 180° - 90° - 55°
= 35° (Angles sum of triangle)
∠SQT
= 180° - 64° - 35°
= 81° (Angles sum of triangle)
∠PQT
= 180° - 81°
= 124° (Angles on a straight line)
(b)
∠SQR
= 360° - 124° - 81° - 124°
= 31° (Angles at a point)
∠QRS
= 180° - 31° - 31°
= 118°
Answer(s): (a) 124°; (b) 118°