The degree measure of one of the angles of the triangle is 60 °, and the other is 45 °. What is the value of the third angle.

The sum of the degree measures of any triangle is 180 °.

Let’s denote the angles of a given triangle as A, B and C.

Then we can write: A + B + C = 180 °.

If you know the degree measures of the two angles of the triangle, then you can find the third angle:

A = 180 ° – (B + C);

B = 180 ° – (A + C);

C = 180 ° – (A + B).

Let A = 60 °, B = 45 °. The degree measure of the angle C must be calculated.

1) Find the sum of the angles A and B:

60 + 45 = 105 °.

2) Determine the degree measure of the third angle C:

180 – 105 = 75 °.

Answer: 75 °.