Given that PRST is a rhombus, calculate
- ∠x
- ∠y
(a)
∠PUT = ∠RUV = 107° (Vertically opposite angles)
∠x
= 180° - 107° - 19°
= 54° (Angles sum of triangle)
(b)
∠TSR
= 180° - 19° - 19°
= 142° (Angles sum of triangle)
∠y
= 360° - 107° - 142° - 19°
= 92° (Sum of Angles in a quadrilateral)
Answer(s): (a) 54°; (b) 92°