Given that MNPQ is a trapezium and MNQ is an isosceles triangle, find the values of
- ∠a
- ∠b
(a)
∠a
= 180° - 86°
= 94° (Interior angles)
(b)
∠QNM
= 86° ÷ 2
= 43° (Exterior angle of a triangle)
∠PQN = ∠QNM = 43° (Alternate angles)
∠b
= 180° - 90° - 43°
= 47° (Angles sum of triangle)
Answer(s): (a) 94°; (b) 47°