Answer is exterior angle = 116 degrees
Step by step
The exterior angle rule is the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
So our interior angles are
63 + (x + 24)
Our exterior angle is
4x
Our equation
4x = 63 + (x + 24)
Subtract x from both sides to isolate variable
4x - x = 63 +x + 24 -x
Simplify
3x = 87
Divide both sides by 3 to solve for x
3/3x = 87/3
Simplify
x = 29
Now the exterior angle is 4x
Substitute our value of x
4 (29) = 116
The exterior angle = 116