Given that PRST is a rhombus, calculate
- ∠x
- ∠y
(a)
∠PUT = ∠RUV = 106° (Vertically opposite angles)
∠x
= 180° - 106° - 24°
= 50° (Angles sum of triangle)
(b)
∠TSR
= 180° - 24° - 24°
= 132° (Angles sum of triangle)
∠y
= 360° - 106° - 132° - 24°
= 98° (Sum of Angles in a quadrilateral)
Answer(s): (a) 50°; (b) 98°