In the figure, KLMN and LQRS are two rhombuses. If ∠QRS = 111° and ∠KNM = 97°, calculate
- ∠RQS
- ∠RML
- ∠STM
(a)
∠RQS
= (180° - 111°) ÷ 2
= 34.5° (Isosceles triangle)
(b)
∠RML = ∠KNM = 97° (Corresponding angles)
(c)
∠STM
= 97° - 34.5°
= 62.5° (Exterior angle of a triangle)
Answer(s): (a) 34.5°; (b) 97°; (c) 62.5°