In the figure, PQ = PS, ∠QPS = 34° and ∠TRS = 17°. Find
- ∠i
- ∠j
(a)
∠PQS
= (180° - 34°) ÷ 2
= 73° (Isosceles triangle)
∠i
= 180° - 17° - 73°
= 90° (Angles sum of triangle)
(b)
∠PSR
= 180° - 73°
= 107° (Angles on a straight line)
∠j
= 17° + 107°
= 124° (Exterior angle of a triangle)
Answer(s): (a) 90°; (b) 124°