Answer:
C. 57 degrees.
Step-by-step explanation:
It's a line, so it adds to 180 degrees. The interior angle is 180 - 114 = 66 degrees.
A triangle adds up to 180 degrees. Subtract 66 to get 114 degrees. This means the two remaining angles in the triangle add up to 114 degrees. Since they are identical (both are the same because they use the same variable), you can divide 114 by two.
The final answer is 57 degrees.
Let me know if you have any questions.