In the figure, JKLM and KPQR are two rhombuses. If ∠PQR = 111° and ∠JML = 96°, calculate
- ∠QPR
- ∠QLK
- ∠RSL
(a)
∠QPR
= (180° - 111°) ÷ 2
= 34.5° (Isosceles triangle)
(b)
∠QLK = ∠JML = 96° (Corresponding angles)
(c)
∠RSL
= 96° - 34.5°
= 61.5° (Exterior angle of a triangle)
Answer(s): (a) 34.5°; (b) 96°; (c) 61.5°