In the figure, QJLP and QJKN are parallelograms. Given that ∠LJM = 15°, ∠QPN = 61° and QNP is an isosceles triangle where QN = QP. Find
- ∠JML
- ∠QJM
(a)
∠JLP
= 180° - 61°
= 119° (Interior angles)
∠JML
= 180° - 119° - 15°
= 46° (Angles sum of triangle)
(b)
∠QJM
= ∠JML
= 46° (Alternate angles)
Answer(s): (a) 46°; (b) 46°