In the figure, R is the centre of a semicircle and RMNP is a rhombus. Given that ∠RPQ = 29°, find
- ∠d
- ∠e
(a)
∠RPQ
= ∠RQP
= 29° (Isosceles triangle)
∠PRQ
= 180° - 29° - 29°
= 122° (Angles sum of triangle)
∠d
= ∠PRQ
= 122° (Corresponding angles)
(b)
∠e
= 180° - 122°
= 58° (Interior angles)
Answer(s): (a) 122°; (b) 58°