PSLE In the figure, PQS and UTS are straight lines and TQ is parallel to SR. ∠TUP is a right angle, ∠UPQ = 49°, ∠PQR = 110° and ∠STQ = 67°.
- Find ∠PQT.
- Find ∠QRS.
(a)
∠PSU
= 180° - 90° - 49°
= 41° (Angles sum of triangle)
∠SQT
= 180° - 67° - 41°
= 72° (Angles sum of triangle)
∠PQT
= 180° - 72°
= 110° (Angles on a straight line)
(b)
∠SQR
= 360° - 110° - 72° - 110°
= 68° (Angles at a point)
∠QRS
= 180° - 68° - 68°
= 44°
Answer(s): (a) 110°; (b) 44°