Answer:
A
Explanation:
Remember that the sum of the interior angles of a triangle is always 180 degrees. We are given that two of the interior angles of the triangle are y and the exterior angle that is connected to the missing interior angle is 130 degrees. We can see from the image that the given exterior angle and the missing interior angle are supplementary, or they add up to 180. Knowing this, we can find the missing interior angle:
130 + a = 180
a = 50
So we now know that the missing interior angle is 50 degrees. Since the sum of the interior angles for a triangle is 180 degrees, we can make the equation:
50 + y + y = 180
and solve for y.
50 + y + y = 108
50 + 2y = 180
2y = 130
y = 65
So now we know that y = 65.
I hope you find my answer and explanation to be helpful. Happy studying. :)