PSTW and PRUW are parallelograms and QVU is an isosceles triangle. Given that ∠QUR = 37°, ∠PWV = 61° and ∠SUT = 51°, find
- ∠RUS,
- ∠SRU.
(a)
∠QUV
= (180° - 25°) ÷ 2
= 77.5° (Isosceles triangle)
∠RUS
= 180° - 77.5° - 37° - 51°
= 14.5° (Angles on a straight line)
(b)
∠SRU
= 180° - 51° -14.5°
= 114.5° (Interior angles)
Answer(s): (a) 14.5°; (b) 114.5°