NRSV and NQTV are parallelograms and PUT is an isosceles triangle. Given that ∠PTQ = 38°, ∠NVU = 63° and ∠RTS = 51°, find
- ∠QTR,
- ∠RQT.
(a)
∠PTU
= (180° - 22°) ÷ 2
= 79° (Isosceles triangle)
∠QTR
= 180° - 79° - 38° - 51°
= 12° (Angles on a straight line)
(b)
∠RQT
= 180° - 51° -12°
= 117° (Interior angles)
Answer(s): (a) 12°; (b) 117°