Question

Find the unknown angles in the figure ​

Answer 1

Answer:

x = 45°

y = 80°

Step-by-step explanation:

BCD is a straight line.

∴ ∠DCE + ∠ACE + ∠ACB = 180°

=> x + 90° + x = 180°

=> 2x = 180° - 90° = 90°

∴ x $=\frac{90}{2}$ = 45°

Again, ∠ACD = ∠CAB + ∠ABC  [∵ Exterior angle = Sum of non-adjacent interior angles]

=> 90° + x = y + 55°

=> 90° + 45° = y + 55°

=> y = 90° + 45° - 55° = 80°