In the figure, LMNP and MRST are two rhombuses. If ∠RST = 122° and ∠LPN = 97°, calculate
- ∠SRT
- ∠SNM
- ∠TUN
(a)
∠SRT
= (180° - 122°) ÷ 2
= 29° (Isosceles triangle)
(b)
∠SNM = ∠LPN = 97° (Corresponding angles)
(c)
∠TUN
= 97° - 29°
= 68° (Exterior angle of a triangle)
Answer(s): (a) 29°; (b) 97°; (c) 68°