Answer:
Option C is correct
The value of y is, [tex]44^{\circ}[/tex]
Step-by-step explanation:
Exterior Angle theorem states that the sum of the measures of the two non-adjacent interior angles of the triangle is equal to the measure of an exterior angle.
Label the figure:
In triangle ABC, BC is produced to D, then [tex]\angle ACD[/tex] is the exterior angle , [tex]\angle ABC[/tex] and [tex]\angle BAC[/tex] are the two interior opposite angle.
i.e, [tex]\angle ABC+\angle BAC=\angle ACD[/tex]
From the given figure:
[tex]\angle ABC = \angle BAC = y^{\circ}[/tex] and [tex]\angle ACD[/tex][tex]=88^{\circ}[/tex]
Then, by the Exterior angle theorem, we calculate the value of y;
[tex]y^{\circ}+y^{\circ}=88^{\circ}[/tex]
Combine like terms:
[tex]2y^{\circ}=88^{\circ}[/tex]
on simplify:
[tex]y=44^{\circ}[/tex]
therefore, the value of y is, [tex]44^{\circ}[/tex]
