In the figure, P is the centre of the circle, LP is parallel to MN and ∠MPN = 112°. Find the values of
- ∠h
- ∠i
- ∠j
(a)
∠h
= (180° - 112°) ÷ 2
= 34° (Angle properties within a circle)
(b)
∠LPM = ∠h = 34° (Alternate angles)
∠i
= (180° - 34°) ÷ 2
= 73° (Angle properties within a circle)
(c)
∠j
= 360° - 112° - 34°
= 214° (Angles at a point)
Answer(s): (a) 34°; (b) 73°; (c) 214°