In the figure, U is the centre of a semicircle and UQRS is a rhombus. Given that ∠UST = 26°, find
- ∠x
- ∠y
(a)
∠UST
= ∠UTS
= 26° (Isosceles triangle)
∠SUT
= 180° - 26° - 26°
= 128° (Angles sum of triangle)
∠x
= ∠SUT
= 128° (Corresponding angles)
(b)
∠y
= 180° - 128°
= 52° (Interior angles)
Answer(s): (a) 128°; (b) 52°