PSLEIn the figure, RSTU is a parallelogram. RPU and PTQ are straight lines. ∠QTU = 147°, ∠RUT = 45° and ∠RTP = 23°.
- Find ∠STQ.
- Find ∠SRT.
(a)
∠STU
= 180° - 45°
= 135° (Interior angles)
∠STQ
= 360° - 147° - 135°
= 78° (Angles at a point)
(b)
∠UTP
= 180° - 147°
= 33°(Angles on a straight line)
∠SRT
= ∠RTU
= 33° + 23°
= 56° (Alternate angles)
Answer(s): (a) 78°; (b) 56°