In the figure, EHLP is a rectangle, LMPQ is a rhombus and HJKL is a parallelogram. ∠LMP = 78° and ∠KLM = 94°.
- Find ∠GLH
- Find ∠LKJ
(a)
∠PQL = ∠PML = 78°
∠QLP
= (180° - 78°) ÷ 2
= 102° ÷ 2
= 51° (Isosceles triangle)
∠GLH
= 90° - 51°
= 39°
(b)
∠HLK
= 360° - 94° - 90° - 51°
= 125° (Angles at a point)
∠JKL
= 180° - 125°
= 55° (Interior Angles, HL//JF)
Answer(s): (a) 39°; (b) 55°