In the figure, RSV and UST are right-angled triangles. VS is parallel to UT. Find
- ∠STU
- ∠SVU
(a)
∠USV
= 360° - 90° - 90° - 121°
= 59° (Angles at a point)
∠SUT = ∠USV = 59° (Alternate angles)
∠STU
= 180° - ∠UST - ∠SUT
= 180° - 90° - 59°
= 31° (Angles sum of triangle)
(b)
∠SVU
= 180° - ∠USV - ∠SUV
= 180° - 59° - 86°
= 35° (Angles sum of triangle)
Answer(s): (a) 31°; (b) 35°