In the figure, VYBE is a rectangle, BCEF is a rhombus and YZAB is a parallelogram. ∠BCE = 76° and ∠ABC = 93°.
- Find ∠XBY
- Find ∠BAZ
(a)
∠EFB = ∠ECB = 76°
∠FBE
= (180° - 76°) ÷ 2
= 104° ÷ 2
= 52° (Isosceles triangle)
∠XBY
= 90° - 52°
= 38°
(b)
∠YBA
= 360° - 93° - 90° - 52°
= 125° (Angles at a point)
∠ZAB
= 180° - 125°
= 55° (Interior Angles, YB//ZF)
Answer(s): (a) 38°; (b) 55°