In the figure, LMNP and MRST are two rhombuses. If ∠RST = 120° and ∠LPN = 102°, calculate
- ∠SRT
- ∠SNM
- ∠TUN
(a)
∠SRT
= (180° - 120°) ÷ 2
= 30° (Isosceles triangle)
(b)
∠SNM = ∠LPN = 102° (Corresponding angles)
(c)
∠TUN
= 102° - 30°
= 72° (Exterior angle of a triangle)
Answer(s): (a) 30°; (b) 102°; (c) 72°