Degree measure of angle B of triangle ABC is 45 degrees less than degree measure of angle A Degree measure

Degree measure of angle B of triangle ABC is 45 degrees less than degree measure of angle A Degree measure of angle C is 15 degrees less than angle B. Calculate the angles of the triangle.

Let the degree measure of the angle B = X degrees, then the degree measure of the angle A = X + 45, and the degree measure of the angle C = X – 15.

The sum of the angles of the triangle is 180, then (X + X + 45 + X – 15) = 180.

3 * X = 180 – 45 + 15 = 150.

X = 150/3 = 50.

Angle B = 50.

Angle A = 50 + 45 = 95.

Angle C = 50 – 15 = 35.

Answer: ∠В = 50, ∠А = 50 + 45 = 95, ∠С = 50 – 15 = 35.