# One of the angles of the triangle is 64 degrees. Find the measures of the other two angles

July 25, 2021 | education

| **One of the angles of the triangle is 64 degrees. Find the measures of the other two angles if one of them is 30 degrees greater than the second.**

We will solve this problem using the equation.

1. Let’s designate one of the angles of the triangle through x degrees.

2. Determine the second corner of the triangle.

(x + 30) degrees.

3. We know that the sum of all the angles of a triangle is 180 degrees. Let’s compose and solve the equation:

x + (x + 30) + 64 = 180

x + x + 30 + 64 = 180

x + x = 180-30-64

2x = 86

x = 86/2

x = 43

4. One of the angles of the triangle is x = 43 degrees.

5. Determine the second corner of the triangle.

x + 30 = 43 + 30 = 73 degrees.

Answer: one of the two angles of the triangle is 43 degrees and the other 73 degrees.