In the figure, QRU and TRS are right-angled triangles. UR is parallel to TS. Find
- ∠RST
- ∠RUT
(a)
∠TRU
= 360° - 90° - 90° - 124°
= 56° (Angles at a point)
∠RTS = ∠TRU = 56° (Alternate angles)
∠RST
= 180° - ∠TRS - ∠RTS
= 180° - 90° - 56°
= 34° (Angles sum of triangle)
(b)
∠RUT
= 180° - ∠TRU - ∠RTU
= 180° - 56° - 81°
= 43° (Angles sum of triangle)
Answer(s): (a) 34°; (b) 43°
