In the figure, UXAD is a rectangle, ABDE is a rhombus and XYZA is a parallelogram. ∠ABD = 76° and ∠ZAB = 97°.
- Find ∠WAX
- Find ∠AZY
(a)
∠DEA = ∠DBA = 76°
∠EAD
= (180° - 76°) ÷ 2
= 104° ÷ 2
= 52° (Isosceles triangle)
∠WAX
= 90° - 52°
= 38°
(b)
∠XAZ
= 360° - 97° - 90° - 52°
= 121° (Angles at a point)
∠YZA
= 180° - 121°
= 59° (Interior Angles, XA//YF)
Answer(s): (a) 38°; (b) 59°