Problema Solution

Angles A, B, and C are the angle in a triangle. Angle C is three times as big as angle A and angle B is 25 degree more than angle A. Find the measure of angle A in degrees. Write the equation then solve.

Answer provided by our tutors

angle A: a

angle B: 25 + a

angle C: 3a

the angles of a triangle sum to 180 degrees

so

A + B + C = 180

a + 25 + a + 3a = 180

5a + 25 = 180

5a = 155

a = 31

so angle A is 31 degrees