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

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.