# In triangle ABC, angle C is 90 degrees, angle A is 20 degrees greater than angle B. Find angles A and B.

June 26, 2021 | education

| The solution of the problem:

Let’s solve the problem using the equation.

1. Let the angle B of the triangle ABC be equal to x ugadus.

2. Find what the angle A of the triangle ABC is equal to.

(x + 20) degrees.

3. Let’s compose and solve the equation:

x + (x + 20) + 90 = 180.

x + x + 20 + 90 = 180.

x + x = 180-20-90.

2x = 70.

x = 70/2.

x = 35 degrees.

4. Angle B of triangle ABC is 35 degrees.

5. Find what the angle A of the triangle ABC is equal to x + 20 = 35 + 20 = 55 degrees.

Answer: Angle A of triangle ABC is fifty-five degrees, angle B of triangle ABC is thirty-five degrees.

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