In the figure, MNPQ and NSTU are two rhombuses. If ∠STU = 118° and ∠MQP = 98°, calculate
- ∠TSU
- ∠TPN
- ∠UVP
(a)
∠TSU
= (180° - 118°) ÷ 2
= 31° (Isosceles triangle)
(b)
∠TPN = ∠MQP = 98° (Corresponding angles)
(c)
∠UVP
= 98° - 31°
= 67° (Exterior angle of a triangle)
Answer(s): (a) 31°; (b) 98°; (c) 67°