Given that PRST is a rhombus, calculate
- ∠x
- ∠y
(a)
∠PUT = ∠RUV = 112° (Vertically opposite angles)
∠x
= 180° - 112° - 16°
= 52° (Angles sum of triangle)
(b)
∠TSR
= 180° - 16° - 16°
= 148° (Angles sum of triangle)
∠y
= 360° - 112° - 148° - 16°
= 84° (Sum of Angles in a quadrilateral)
Answer(s): (a) 52°; (b) 84°