Given that RSTU is a rhombus, calculate
- ∠y
- ∠z
(a)
∠RVU = ∠SVX = 106° (Vertically opposite angles)
∠y
= 180° - 106° - 16°
= 58° (Angles sum of triangle)
(b)
∠UTS
= 180° - 16° - 16°
= 148° (Angles sum of triangle)
∠z
= 360° - 106° - 148° - 16°
= 90° (Sum of Angles in a quadrilateral)
Answer(s): (a) 58°; (b) 90°