One corner of a triangle is 60, the second is 2 times the third. What are the second and third angles of the triangle?

In order to find the degree measure of the second and third angle of the triangle, we will compose and solve the equation.

We know from the condition that one angle of the triangle is 60 °, and we also know that the second angle is 2 times greater than the third.

Let us denote by the variable x ° the degree measure of the third angle of the triangle and 2x ° the degree measure of the second angle.

We know that the sum of the angles of a triangle is 180 °.

We get the equation:

60 + x + 2x = 180;

3x = 180 – 60;

3x = 120;

x = 120: 3;

x = 40 ° the third angle of the triangle and 40 * 2 = 80 ° the second angle of the triangle.