Answer:
value of y is, [tex]57^{\circ}[/tex]
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 :
[tex]2y = 114[/tex]
Divide both sides by 2 we have;
y = 57 degree
Therefore, the value of y is, [tex]57^{\circ}[/tex]
