In the figure, LMNP and MRST are two rhombuses. If ∠RST = 114° and ∠LPN = 102°, calculate
- ∠SRT
- ∠SNM
- ∠TUN
(a)
∠SRT
= (180° - 114°) ÷ 2
= 33° (Isosceles triangle)
(b)
∠SNM = ∠LPN = 102° (Corresponding angles)
(c)
∠TUN
= 102° - 33°
= 69° (Exterior angle of a triangle)
Answer(s): (a) 33°; (b) 102°; (c) 69°