LPQT and LNRT are parallelograms and MSR is an isosceles triangle. Given that ∠MRN = 38°, ∠LTS = 63° and ∠PRQ = 47°, find
- ∠NRP,
- ∠PNR.
(a)
∠MRS
= (180° - 21°) ÷ 2
= 79.5° (Isosceles triangle)
∠NRP
= 180° - 79.5° - 38° - 47°
= 15.5° (Angles on a straight line)
(b)
∠PNR
= 180° - 47° -15.5°
= 117.5° (Interior angles)
Answer(s): (a) 15.5°; (b) 117.5°