In the figure, VYBE is a rectangle, BCEF is a rhombus and YZAB is a parallelogram. ∠BCE = 74° and ∠ABC = 96°.
- Find ∠XBY
- Find ∠BAZ
(a)
∠EFB = ∠ECB = 74°
∠FBE
= (180° - 74°) ÷ 2
= 106° ÷ 2
= 53° (Isosceles triangle)
∠XBY
= 90° - 53°
= 37°
(b)
∠YBA
= 360° - 96° - 90° - 53°
= 121° (Angles at a point)
∠ZAB
= 180° - 121°
= 59° (Interior Angles, YB//ZF)
Answer(s): (a) 37°; (b) 59°