In the figure, LMNP is a square and ∠MQP = 37°. Calculate
- ∠PRN
- ∠MPR
(a)
∠MRQ
= 180° - 90° - 37°
= 53° (Angles sum of triangle)
∠PRN = 53° (Vertically opposite angles)
(b)
∠PMR = 90° ÷ 2 = 45°
∠MPR
= 180° - 37° - 90° - 45°
= 8° (Angles sum of triangle)
Answer(s): (a) 53°; (b) 8°