In the figure, P is the centre of a semicircle and PKLM is a rhombus. Given that ∠PMN = 31°, find
- ∠v
- ∠w
(a)
∠PMN
= ∠PNM
= 31° (Isosceles triangle)
∠MPN
= 180° - 31° - 31°
= 118° (Angles sum of triangle)
∠v
= ∠MPN
= 118° (Corresponding angles)
(b)
∠w
= 180° - 118°
= 62° (Interior angles)
Answer(s): (a) 118°; (b) 62°