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 = 46°, ∠QRP = 41° and ∠LPM = 114°, find
- ∠h
- ∠j
- ∠i
(a)
∠QPR = ∠LPM = 114° (Vertically opposite angles)
∠h
= 180° - 114° - 41°
= 25° (Angles sum of triangle)
(b)
∠j
= 180° - 25°
= 155° (Interior angles)
(c)
∠i
= 180° - 25° - 25° - 41°
= 93° (Angles sum of triangle)
Answer(s): (a) 25°; (b) 155°; (c) 93°