Final answer:
Without the specific angle measures or additional information, we cannot solve for x in the triangle regarding the exterior angle of 117 degrees. The triangle sum theorem indicates that the interior angles of a triangle add up to 180 degrees.
Step-by-step explanation:
The student is asking for help with solving for a variable x associated with angles in a triangle. According to the triangle sum theorem, the sum of the angles in a triangle is always 180 degrees. Since one side of the triangle has been extended to form an exterior angle of 117 degrees, and the measure of an exterior angle is equal to the sum of the measures of the two non-adjacent interior angles, we can find the value of x by using the other given angles in the triangle. However, without the specific measures of these angles or additional context, we cannot solve for x.
The complete question is: A side of the triangle below has been extended to form an exterior angle of 130°. Find the value of x.