LPQT and LNRT are parallelograms and MSR is an isosceles triangle. Given that ∠MRN = 36°, ∠LTS = 64° and ∠PRQ = 48°, find
- ∠NRP,
- ∠PNR.
(a)
∠MRS
= (180° - 25°) ÷ 2
= 77.5° (Isosceles triangle)
∠NRP
= 180° - 77.5° - 36° - 48°
= 18.5° (Angles on a straight line)
(b)
∠PNR
= 180° - 48° -18.5°
= 113.5° (Interior angles)
Answer(s): (a) 18.5°; (b) 113.5°