Answer:
value of y is, ![57^{\circ}](https://tex.z-dn.net/?f=57%5E%7B%5Ccirc%7D)
Step-by-step explanation:
Exterior angle property of a triangle says that:
Sum of the two opposite interior angles.
From the given triangle:
Sum of two opposite interior angles = y +y = 2y
Since, 114 degree is an exterior angle of a triangle,
By Exterior angle property of a triangle :
![2y = 114](https://tex.z-dn.net/?f=2y%20%3D%20114)
Divide both sides by 2 we have;
y = 57 degree
Therefore, the value of y is, ![57^{\circ}](https://tex.z-dn.net/?f=57%5E%7B%5Ccirc%7D)