In the figure, Z is the centre of a semicircle and ZVWX is a rhombus. Given that ∠ZXY = 26°, find
- ∠n
- ∠p
(a)
∠ZXY
= ∠ZYX
= 26° (Isosceles triangle)
∠XZY
= 180° - 26° - 26°
= 128° (Angles sum of triangle)
∠n
= ∠XZY
= 128° (Corresponding angles)
(b)
∠p
= 180° - 128°
= 52° (Interior angles)
Answer(s): (a) 128°; (b) 52°