In the figure, KLMN and LQRS are two rhombuses. If ∠QRS = 116° and ∠KNM = 98°, calculate
- ∠RQS
- ∠RML
- ∠STM
(a)
∠RQS
= (180° - 116°) ÷ 2
= 32° (Isosceles triangle)
(b)
∠RML = ∠KNM = 98° (Corresponding angles)
(c)
∠STM
= 98° - 32°
= 66° (Exterior angle of a triangle)
Answer(s): (a) 32°; (b) 98°; (c) 66°