In the figure, LMNP and MRST are two rhombuses. If ∠RST = 107° and ∠LPN = 96°, calculate
- ∠SRT
- ∠SNM
- ∠TUN
(a)
∠SRT
= (180° - 107°) ÷ 2
= 36.5° (Isosceles triangle)
(b)
∠SNM = ∠LPN = 96° (Corresponding angles)
(c)
∠TUN
= 96° - 36.5°
= 59.5° (Exterior angle of a triangle)
Answer(s): (a) 36.5°; (b) 96°; (c) 59.5°