measure of angle c

Question

The sum of the measures of the angles in any triangle is 180 degrees. In triangle ABC, angles A and B have the same measures, while angle C is 57 degrees larger than the other two angles. Find the measure of angle C.

Answer 1

x = measures of angles A and B

x + 57 = measure of angle C

180 = sum of measures of angles A, B, C

so:

x + x + x + 57 = 180

3x = 123

x = 41

angle C = 41 + 57 = 98