To solve this problem, first we need to know that two angles that are supplementary (combine to form a straight line) must add up to 180 degrees. Additionally, we must also note that the three angles in a triangle must add up to 180 degrees.
To find the two interior angles that aren’t supplementary with x, we are going to use that first principle.
180 - 130 = 50 180 - 134 = 46
This means that two of the interior angles of the triangle shown above are 50 degrees and 46 degrees. Now we use the second principle to find the measure of the angle supplementary with x.
180 - 50 - 46 = 86 degrees
This means that x is supplementary to an angle that measures 86 degrees, so:
