PSTW and PRUW are parallelograms and QVU is an isosceles triangle. Given that ∠QUR = 40°, ∠PWV = 61° and ∠SUT = 46°, find
- ∠RUS,
- ∠SRU.
(a)
∠QUV
= (180° - 25°) ÷ 2
= 77.5° (Isosceles triangle)
∠RUS
= 180° - 77.5° - 40° - 46°
= 16.5° (Angles on a straight line)
(b)
∠SRU
= 180° - 46° -16.5°
= 117.5° (Interior angles)
Answer(s): (a) 16.5°; (b) 117.5°