In the figure, LMNP and MRST are two rhombuses. If ∠RST = 111° and ∠LPN = 98°, calculate
- ∠SRT
- ∠SNM
- ∠TUN
(a)
∠SRT
= (180° - 111°) ÷ 2
= 34.5° (Isosceles triangle)
(b)
∠SNM = ∠LPN = 98° (Corresponding angles)
(c)
∠TUN
= 98° - 34.5°
= 63.5° (Exterior angle of a triangle)
Answer(s): (a) 34.5°; (b) 98°; (c) 63.5°