PSTW and PRUW are parallelograms and QVU is an isosceles triangle. Given that ∠QUR = 38°, ∠PWV = 61° and ∠SUT = 50°, find
- ∠RUS,
- ∠SRU.
(a)
∠QUV
= (180° - 24°) ÷ 2
= 78° (Isosceles triangle)
∠RUS
= 180° - 78° - 38° - 50°
= 14° (Angles on a straight line)
(b)
∠SRU
= 180° - 50° -14°
= 116° (Interior angles)
Answer(s): (a) 14°; (b) 116°