NRSV and NQTV are parallelograms and PUT is an isosceles triangle. Given that ∠PTQ = 37°, ∠NVU = 63° and ∠RTS = 47°, find
- ∠QTR,
- ∠RQT.
(a)
∠PTU
= (180° - 27°) ÷ 2
= 76.5° (Isosceles triangle)
∠QTR
= 180° - 76.5° - 37° - 47°
= 19.5° (Angles on a straight line)
(b)
∠RQT
= 180° - 47° -19.5°
= 113.5° (Interior angles)
Answer(s): (a) 19.5°; (b) 113.5°