Given that FGHK is a rhombus, calculate
- ∠p
- ∠r
(a)
∠FLK = ∠GLN = 106° (Vertically opposite angles)
∠p
= 180° - 106° - 21°
= 53° (Angles sum of triangle)
(b)
∠KHG
= 180° - 21° - 21°
= 138° (Angles sum of triangle)
∠r
= 360° - 106° - 138° - 21°
= 95° (Sum of Angles in a quadrilateral)
Answer(s): (a) 53°; (b) 95°