In the figure, LMNP and MRST are two rhombuses. If ∠RST = 119° and ∠LPN = 91°, calculate
- ∠SRT
- ∠SNM
- ∠TUN
(a)
∠SRT
= (180° - 119°) ÷ 2
= 30.5° (Isosceles triangle)
(b)
∠SNM = ∠LPN = 91° (Corresponding angles)
(c)
∠TUN
= 91° - 30.5°
= 60.5° (Exterior angle of a triangle)
Answer(s): (a) 30.5°; (b) 91°; (c) 60.5°