In the figure, KLMN and LQRS are two rhombuses. If ∠QRS = 115° and ∠KNM = 92°, calculate
- ∠RQS
- ∠RML
- ∠STM
(a)
∠RQS
= (180° - 115°) ÷ 2
= 32.5° (Isosceles triangle)
(b)
∠RML = ∠KNM = 92° (Corresponding angles)
(c)
∠STM
= 92° - 32.5°
= 59.5° (Exterior angle of a triangle)
Answer(s): (a) 32.5°; (b) 92°; (c) 59.5°