In the figure, JKLM is a parallelogram and NL = NM.
- Find ∠p.
- Find ∠q.
(a)
∠JNK = ∠JKN (Isosceles triangle)
∠p
= 180° - 42° - 42° - 69°
= 27° (Interior angles)
(b)
∠JNK
= 180° - 42° - 42°
= 96° (Angles sum of triangle)
∠q
= 360° - 96°
= 264° (Angles at a point)
Answer(s): (a) 27°; (b) 264°