In the figure, KLMN and LQRS are two rhombuses. If ∠QRS = 109° and ∠KNM = 101°, calculate
- ∠RQS
- ∠RML
- ∠STM
(a)
∠RQS
= (180° - 109°) ÷ 2
= 35.5° (Isosceles triangle)
(b)
∠RML = ∠KNM = 101° (Corresponding angles)
(c)
∠STM
= 101° - 35.5°
= 65.5° (Exterior angle of a triangle)
Answer(s): (a) 35.5°; (b) 101°; (c) 65.5°