Given that PRST is a rhombus, calculate
- ∠x
- ∠y
(a)
∠PUT = ∠RUV = 110° (Vertically opposite angles)
∠x
= 180° - 110° - 10°
= 60° (Angles sum of triangle)
(b)
∠TSR
= 180° - 10° - 10°
= 160° (Angles sum of triangle)
∠y
= 360° - 110° - 160° - 10°
= 80° (Sum of Angles in a quadrilateral)
Answer(s): (a) 60°; (b) 80°