In the figure, JKLM is a parallelogram and NL = NM.
- Find ∠p.
- Find ∠q.
(a)
∠JNK = ∠JKN (Isosceles triangle)
∠p
= 180° - 45° - 45° - 70°
= 20° (Interior angles)
(b)
∠JNK
= 180° - 45° - 45°
= 90° (Angles sum of triangle)
∠q
= 360° - 90°
= 270° (Angles at a point)
Answer(s): (a) 20°; (b) 270°