In the figure, P is the centre of a semicircle and PKLM is a rhombus. Given that ∠PMN = 27°, find
- ∠y
- ∠z
(a)
∠PMN
= ∠PNM
= 27° (Isosceles triangle)
∠MPN
= 180° - 27° - 27°
= 126° (Angles sum of triangle)
∠y
= ∠MPN
= 126° (Corresponding angles)
(b)
∠z
= 180° - 126°
= 54° (Interior angles)
Answer(s): (a) 126°; (b) 54°