Question

Find the value of x and y in the figure​

Answer 1

45° + x= 120° (Exterior Angle Property)

x= 120° - 45°

x= 75°

120° + y = 180°. (Linear Pair)

y = 180° - 120°

y = 60°

Answer 2

Answer:

y = 60° and x = 75°

Step-by-step explanation:

∠BCA and ∠BCD are a linear pair.

∴ ∠BCA + ∠BCD = 180°

y + 120° = 180°

y = 180° - 120°

y = 60°

∠BCD is an exterior angle

∴∠BAC +∠ABC = ∠BCD

45° + x = 120°

x = 120° - 45°

x = 75°