PSLE In the figure, PQS and UTS are straight lines and TQ is parallel to SR. ∠TUP is a right angle, ∠UPQ = 52°, ∠PQR = 119° and ∠STQ = 65°.
- Find ∠PQT.
- Find ∠QRS.
(a)
∠PSU
= 180° - 90° - 52°
= 38° (Angles sum of triangle)
∠SQT
= 180° - 65° - 38°
= 77° (Angles sum of triangle)
∠PQT
= 180° - 77°
= 119° (Angles on a straight line)
(b)
∠SQR
= 360° - 119° - 77° - 119°
= 45° (Angles at a point)
∠QRS
= 180° - 45° - 45°
= 90°
Answer(s): (a) 119°; (b) 90°