Answer:
The answer should be 77, but the triangle in the question seems off. Read the explanation.
Explanation:
To find the exterior angle in this problem, you can use the exterior angle theorem.
Interior angle + interior angle = exterior angle
25 + 52 = 77
You can double-check this answer by figuring out the third interior angle.
Since the sum of all the interior angles of a triangle should be 180, you can determine that
25 + 52 + y =180
Y= 103
or, since a straight line is always 180 degrees (Y+X=180)
25+52+(180-x)=180
X= 77
The reason why I think the question looks weird is since 77 is an acute angle, and even though it's the only answer that makes sense in this question, angle X is clearly an obtuse angle, as shown in the picture.