The figure is not drawn to scale. Triangle TUS is an isosceles triangle. Triangle QRS is an equilateral triangle. ∠UST is
35 of ∠RQS and ∠RSU = ∠QST.
- Find ∠RSU.
- Find ∠QTS.
(a)
∠RSQ = 60° (Equilateral triangle)
∠UST
= ∠RSQ x
35 = 60° x
35 = 36°
∠RSU = ∠QST
∠RSU
= ∠RSQ - ∠USA) ÷ 2
= (60° - 36°) ÷ 2
= 24° ÷ 2
= 12° (Isosceles triangle)
(b)
∠QTS
= 180° - ∠RQS - ∠RSU
= 180° - 60° - 12°
= 108° (Angles sum of triangle)
Answer(s): (a) 12°; (b) 108°