In the figure, Z is the centre of a semicircle and ZVWX is a rhombus. Given that ∠ZXY = 25°, find
- ∠k
- ∠m
(a)
∠ZXY
= ∠ZYX
= 25° (Isosceles triangle)
∠XZY
= 180° - 25° - 25°
= 130° (Angles sum of triangle)
∠k
= ∠XZY
= 130° (Corresponding angles)
(b)
∠m
= 180° - 130°
= 50° (Interior angles)
Answer(s): (a) 130°; (b) 50°