PSLE In the figure, PQS and UTS are straight lines and TQ is parallel to SR. ∠TUP is a right angle, ∠UPQ = 53°, ∠PQR = 114° and ∠STQ = 69°.
- Find ∠PQT.
- Find ∠QRS.
(a)
∠PSU
= 180° - 90° - 53°
= 37° (Angles sum of triangle)
∠SQT
= 180° - 69° - 37°
= 74° (Angles sum of triangle)
∠PQT
= 180° - 74°
= 114° (Angles on a straight line)
(b)
∠SQR
= 360° - 114° - 74° - 114°
= 58° (Angles at a point)
∠QRS
= 180° - 58° - 58°
= 64°
Answer(s): (a) 114°; (b) 64°