In the figure, QRU and TRS are right-angled triangles. UR is parallel to TS. Find
- ∠RST
- ∠RUT
(a)
∠TRU
= 360° - 90° - 90° - 122°
= 58° (Angles at a point)
∠RTS = ∠TRU = 58° (Alternate angles)
∠RST
= 180° - ∠TRS - ∠RTS
= 180° - 90° - 58°
= 32° (Angles sum of triangle)
(b)
∠RUT
= 180° - ∠TRU - ∠RTU
= 180° - 58° - 81°
= 41° (Angles sum of triangle)
Answer(s): (a) 32°; (b) 41°