LPQT and LNRT are parallelograms and MSR is an isosceles triangle. Given that ∠MRN = 41°, ∠LTS = 62° and ∠PRQ = 52°, find
- ∠NRP,
- ∠PNR.
(a)
∠MRS
= (180° - 27°) ÷ 2
= 76.5° (Isosceles triangle)
∠NRP
= 180° - 76.5° - 41° - 52°
= 10.5° (Angles on a straight line)
(b)
∠PNR
= 180° - 52° -10.5°
= 117.5° (Interior angles)
Answer(s): (a) 10.5°; (b) 117.5°