Answer:
x = 100°
Step-by-step explanation:
First, we can identify the top right interior angle of the triangle as 70° because it is congruent to its vertical angle.
Next, we can solve for the bottom interior angle of the triangle (which I will call y) using our knowledge that the interior angles of a triangle add to 180°:
75° + 70° + y = 180°
y = 35°
Finally, we can solve for x because we know that it is a vertical angle and thus also congruent with the sum of the bottom interior angle of the triangle and 65°:
x = 65° + y
x = 65° + 35°
x = 100°