PSTW and PRUW are parallelograms and QVU is an isosceles triangle. Given that ∠QUR = 39°, ∠PWV = 61° and ∠SUT = 51°, find
- ∠RUS,
- ∠SRU.
(a)
∠QUV
= (180° - 27°) ÷ 2
= 76.5° (Isosceles triangle)
∠RUS
= 180° - 76.5° - 39° - 51°
= 13.5° (Angles on a straight line)
(b)
∠SRU
= 180° - 51° -13.5°
= 115.5° (Interior angles)
Answer(s): (a) 13.5°; (b) 115.5°