The figure is not drawn to scale. Triangle YZX is an isosceles triangle. Triangle VWX is an equilateral triangle. ∠ZXY is
35 of ∠WVX and ∠WXZ = ∠VXY.
- Find ∠WXZ.
- Find ∠VYX.
(a)
∠WXV = 60° (Equilateral triangle)
∠ZXY
= ∠WXV x
35 = 60° x
35 = 36°
∠WXZ = ∠VXY
∠WXZ
= ∠WXV - ∠ZXA) ÷ 2
= (60° - 36°) ÷ 2
= 24° ÷ 2
= 12° (Isosceles triangle)
(b)
∠VYX
= 180° - ∠WVX - ∠WXZ
= 180° - 60° - 12°
= 108° (Angles sum of triangle)
Answer(s): (a) 12°; (b) 108°