In the figure, LMNP and MRST are two rhombuses. If ∠RST = 118° and ∠LPN = 92°, calculate
- ∠SRT
- ∠SNM
- ∠TUN
(a)
∠SRT
= (180° - 118°) ÷ 2
= 31° (Isosceles triangle)
(b)
∠SNM = ∠LPN = 92° (Corresponding angles)
(c)
∠TUN
= 92° - 31°
= 61° (Exterior angle of a triangle)
Answer(s): (a) 31°; (b) 92°; (c) 61°