College

The measures of two angles of a triangle are 57 degrees and 62 degrees. Find the measure of the third angle.

Provide your answer below:

Answer :

To find the measure of the third angle in a triangle, we can use the fact that the sum of all angles in a triangle is always 180 degrees.

1. Start by noting the measures of the two given angles: 57 degrees and 62 degrees.

2. Add these two angles together:
[tex]\[
57 + 62 = 119
\][/tex]

3. Subtract the sum of the two known angles from 180 degrees to find the measure of the third angle:
[tex]\[
180 - 119 = 61
\][/tex]

Therefore, the measure of the third angle is 61 degrees.