In the figure, R is the centre of a semicircle and RMNP is a rhombus. Given that ∠RPQ = 28°, find
- ∠w
- ∠x
(a)
∠RPQ
= ∠RQP
= 28° (Isosceles triangle)
∠PRQ
= 180° - 28° - 28°
= 124° (Angles sum of triangle)
∠w
= ∠PRQ
= 124° (Corresponding angles)
(b)
∠x
= 180° - 124°
= 56° (Interior angles)
Answer(s): (a) 124°; (b) 56°