Question

find the value of x and y...

the person who answers step by step and in detail will be marked as brainlist...​

Answer 1

Answer:

x= 65° and y = 50°

Step-by-step explanation:

Given:

∠ACD = 115°

AB = BC

To Find : x and y

Solution:

We know

∠ACB + ∠ACD = 180°   ( Linear Pair)

⇒ ∠ACB + 115° = 180°

⇒ ∠ACB = 65°

Also, angles opposite to equal sides are equal, therefore

∠BAC = ∠ACB

⇒ x = 65°

By exterior angle property,

Exterior angle = Sum of interior opposite angles

⇒ ∠ACD = ∠ABC + ∠BAC

⇒ 115° = 65° + y

⇒ y = 50°

Hope it helps :)

Please let me know if there is any mistake!