In the figure, VYBE is a rectangle, BCEF is a rhombus and YZAB is a parallelogram. ∠BCE = 80° and ∠ABC = 97°.
- Find ∠XBY
- Find ∠BAZ
(a)
∠EFB = ∠ECB = 80°
∠FBE
= (180° - 80°) ÷ 2
= 100° ÷ 2
= 50° (Isosceles triangle)
∠XBY
= 90° - 50°
= 40°
(b)
∠YBA
= 360° - 97° - 90° - 50°
= 123° (Angles at a point)
∠ZAB
= 180° - 123°
= 57° (Interior Angles, YB//ZF)
Answer(s): (a) 40°; (b) 57°