LPQT and LNRT are parallelograms and MSR is an isosceles triangle. Given that ∠MRN = 39°, ∠LTS = 62° and ∠PRQ = 51°, find
- ∠NRP,
- ∠PNR.
(a)
∠MRS
= (180° - 21°) ÷ 2
= 79.5° (Isosceles triangle)
∠NRP
= 180° - 79.5° - 39° - 51°
= 10.5° (Angles on a straight line)
(b)
∠PNR
= 180° - 51° -10.5°
= 118.5° (Interior angles)
Answer(s): (a) 10.5°; (b) 118.5°