In the figure, KLMN and LQRS are two rhombuses. If ∠QRS = 112° and ∠KNM = 93°, calculate
- ∠RQS
- ∠RML
- ∠STM
(a)
∠RQS
= (180° - 112°) ÷ 2
= 34° (Isosceles triangle)
(b)
∠RML = ∠KNM = 93° (Corresponding angles)
(c)
∠STM
= 93° - 34°
= 59° (Exterior angle of a triangle)
Answer(s): (a) 34°; (b) 93°; (c) 59°