Question

The sum of the measures of the angle in any triangle is 180 degrees. In triangle ABC, angles A and B have the same measure, while angle C is 42 degrees larger than each of the other two angles. Find the measure of angle C.

Answer 1

Answer:

88°

Step-by-step explanation:

we can say the two base angles are each x°

the vertex angle (∡C) is (42 + x)°

add them all and set equal to 180°

x + x + x + 42 = 180

3x + 42 = 180

3x = 138

x = 46

∡C = 46 + 42 = 88°