In the figure, KLMN and LQRS are two rhombuses. If ∠QRS = 123° and ∠KNM = 95°, calculate
- ∠RQS
- ∠RML
- ∠STM
(a)
∠RQS
= (180° - 123°) ÷ 2
= 28.5° (Isosceles triangle)
(b)
∠RML = ∠KNM = 95° (Corresponding angles)
(c)
∠STM
= 95° - 28.5°
= 66.5° (Exterior angle of a triangle)
Answer(s): (a) 28.5°; (b) 95°; (c) 66.5°