In the figure, KLM is parallel to QRS and the line QM cuts ∠LQS into half. Given that MQ and LR are straight lines, ∠KLQ = 43°, ∠QRP = 37° and ∠LPM = 110°, find
- ∠n
- ∠q
- ∠p
(a)
∠QPR = ∠LPM = 110° (Vertically opposite angles)
∠n
= 180° - 110° - 37°
= 33° (Angles sum of triangle)
(b)
∠q
= 180° - 33°
= 147° (Interior angles)
(c)
∠p
= 180° - 33° - 33° - 37°
= 100° (Angles sum of triangle)
Answer(s): (a) 33°; (b) 147°; (c) 100°