57° is the value of y.
What are the properties of triangles?
A triangle has three sides, three angles, and three vertices. The sum of all internal angles of a triangle is always equal to 180°. This is called the angle sum property of a triangle. The sum of the length of any two sides of a triangle is greater than the length of the third side
Given
The measure of the exterior angle of a triangle is equal to the sum of the opposite interior angles
114 = y+y
114 = 2y
Divide by 2
114/2 = 2y/2
57 =y
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