Answer:
D. the value of y=[tex]36^{\circ}[/tex] in this triangle.
Step-by-step explanation:
In given triangle
one interior angle measure of given triangle = [tex]98^{\circ}[/tex]
II interior angle measure of given triangle=y
Exterior angle measure of the given triangle= [tex]134^{\circ}[/tex]
We know that exterior angle theorem
Exterior angle theorem: It states that the exterior angle formed when you extend the side of triangle and the exterior angle is equal to the sum of opposite interior angles.
Therefore, by exterior angle theorem
[tex]y+98^{\circ}=134^{\circ}[/tex]
y=134-98
By subtraction property of equality
[tex]y=36^{\circ}[/tex]
By simplification
Hence, the value of y= [tex]36^{\circ}[/tex] in this triangle.
