Work Step by Step
A pair of congruent angles are marked on the triangle, and the measure of one angle, 37, is already given. Therefore, the measure of the other angle is also 37, because they are congruent angles. Now all you have to do is solve for 'x': (The Triangle Sum Theorem applies to this problem). 1) Start by writing out the equation x+37+37=180 2) Simplify by combining like terms: 37+37=74 3) Subtract 74 from each side: x+74=180 180-74=106 4) The answer is x=160.