In the figure, H is the centre of a semicircle and HDEF is a rhombus. Given that ∠HFG = 26°, find
- ∠m
- ∠n
(a)
∠HFG
= ∠HGF
= 26° (Isosceles triangle)
∠FHG
= 180° - 26° - 26°
= 128° (Angles sum of triangle)
∠m
= ∠FHG
= 128° (Corresponding angles)
(b)
∠n
= 180° - 128°
= 52° (Interior angles)
Answer(s): (a) 128°; (b) 52°