LPQT and LNRT are parallelograms and MSR is an isosceles triangle. Given that ∠MRN = 37°, ∠LTS = 62° and ∠PRQ = 47°, find
- ∠NRP,
- ∠PNR.
(a)
∠MRS
= (180° - 24°) ÷ 2
= 78° (Isosceles triangle)
∠NRP
= 180° - 78° - 37° - 47°
= 18° (Angles on a straight line)
(b)
∠PNR
= 180° - 47° -18°
= 115° (Interior angles)
Answer(s): (a) 18°; (b) 115°