In the figure, RSV and UST are right-angled triangles. VS is parallel to UT. Find
- ∠STU
- ∠SVU
(a)
∠USV
= 360° - 90° - 90° - 123°
= 57° (Angles at a point)
∠SUT = ∠USV = 57° (Alternate angles)
∠STU
= 180° - ∠UST - ∠SUT
= 180° - 90° - 57°
= 33° (Angles sum of triangle)
(b)
∠SVU
= 180° - ∠USV - ∠SUV
= 180° - 57° - 85°
= 38° (Angles sum of triangle)
Answer(s): (a) 33°; (b) 38°