The figure is not drawn to scale. EHKP is a parallelogram. GLN and FJM are triangles. ∠GLM = 83° and MFJ = 56°. Find
- ∠FGL
- the sum of ∠FMJ, ∠GCJ and ∠JDL.
(a)
∠FGL
= 180° - 83°
= 97° (Interior angles, EH//PK)
(b)
∠GCJ = ∠FCD (Vertically opposite angles)
∠JDL = ∠MDC (Vertically opposite angles)
FMDC is a quadrilateral.
∠FMJ + ∠MDC + ∠FCD + 56° = 360° (Sum of angles in a quadrilateral)
∠FMJ + ∠MDC + ∠FCD
= 360° - 56°
= 304°
Answer(s): (a) 97°; (b) 304°