In the figure, LMNP and MRST are two rhombuses. If ∠RST = 113° and ∠LPN = 100°, calculate
- ∠SRT
- ∠SNM
- ∠TUN
(a)
∠SRT
= (180° - 113°) ÷ 2
= 33.5° (Isosceles triangle)
(b)
∠SNM = ∠LPN = 100° (Corresponding angles)
(c)
∠TUN
= 100° - 33.5°
= 66.5° (Exterior angle of a triangle)
Answer(s): (a) 33.5°; (b) 100°; (c) 66.5°