In the figure, P is the centre of a semicircle and PKLM is a rhombus. Given that ∠PMN = 26°, find
- ∠a
- ∠b
(a)
∠PMN
= ∠PNM
= 26° (Isosceles triangle)
∠MPN
= 180° - 26° - 26°
= 128° (Angles sum of triangle)
∠a
= ∠MPN
= 128° (Corresponding angles)
(b)
∠b
= 180° - 128°
= 52° (Interior angles)
Answer(s): (a) 128°; (b) 52°