In the figure, RSV and UST are right-angled triangles. VS is parallel to UT. Find
- ∠STU
- ∠SVU
(a)
∠USV
= 360° - 90° - 90° - 125°
= 55° (Angles at a point)
∠SUT = ∠USV = 55° (Alternate angles)
∠STU
= 180° - ∠UST - ∠SUT
= 180° - 90° - 55°
= 35° (Angles sum of triangle)
(b)
∠SVU
= 180° - ∠USV - ∠SUV
= 180° - 55° - 88°
= 37° (Angles sum of triangle)
Answer(s): (a) 35°; (b) 37°