Question

late Here An from Being will nigh 2 y 9. In the adjoining figure, AC = CD. Find x, y, z, w. C 65° 809X C​

Answer 1

Answer:

x = 180°-80°                           (Supplementary Angles)

  = 100°

z = 180°-80°+65°                    (Angle Sum Property)

  = 35°

In Δ ACD,

x + y + ∠ADC = 180°   - (i)      (Angle Sum Property)

y = ∠ADC                    - (ii)

Putting (ii) in (i),

100° + y + y = 180°

2y = 180° - 100°

    = 80°

y = 80° / 2

 = 40°

w + y + z = 180°                     (Supplementary Angle)

w + 40° + 35° = 180°

w = 180° - 75°

   = 105°