Question

What is the value of Y?

Answer 1

it’s 57 ma because of the 144 and if you \ you will get it .

Answer 2

Answer: 57 = y

Step-by-step explanation: To find the value of y in this problem, we use the exterior angle theorem which states that the measure of the exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

So in the diagram shown, the exterior angle, 114,

is equal to the sum of the remote interior angles, y + y.

So we have 114 = y + y.

Solving from here, first combine like terms on the right side.

So we have 114 = 2y.

Now divide both sides by 2 to get 57 = y.