Respuesta :

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°