In the figure, QRT is a triangle with RT = RQ, while PQRS is a parallelogram and SRT is a straight line. Given ∠RSP = 98°, ∠NRT = 146° and ∠PNR = 54°, find
- ∠RQT
- ∠NRQ
(a)
∠PSR
= ∠QRT
= 98° (Corresponding angles)
∠RQT
= (180° - 98°) ÷ 2
= 41° (Isosceles triangle)
(b)
∠NRQ
= 360° - 146° - 98°
= 116° (Angles at a point)
Answer(s): (a) 41°; (b) 116°