In the figure, LMNP and MRST are two rhombuses. If ∠RST = 123° and ∠LPN = 98°, calculate
- ∠SRT
- ∠SNM
- ∠TUN
(a)
∠SRT
= (180° - 123°) ÷ 2
= 28.5° (Isosceles triangle)
(b)
∠SNM = ∠LPN = 98° (Corresponding angles)
(c)
∠TUN
= 98° - 28.5°
= 69.5° (Exterior angle of a triangle)
Answer(s): (a) 28.5°; (b) 98°; (c) 69.5°