In the figure, KLMN and LQRS are two rhombuses. If ∠QRS = 117° and ∠KNM = 96°, calculate
- ∠RQS
- ∠RML
- ∠STM
(a)
∠RQS
= (180° - 117°) ÷ 2
= 31.5° (Isosceles triangle)
(b)
∠RML = ∠KNM = 96° (Corresponding angles)
(c)
∠STM
= 96° - 31.5°
= 64.5° (Exterior angle of a triangle)
Answer(s): (a) 31.5°; (b) 96°; (c) 64.5°