Use the triangle angle sum theorem to find the measure of the third angle if the measure of the two angles are 120 and 34

Answer 1

The triangle angle sum theorem states that the sum of the measures of the three angles in a triangle is always 180 degrees.

Let the measure of the third angle be x.

According to the triangle angle sum theorem, we can write the equation:

120 + 34 + x = 180

Simplifying the equation, we have:

154 + x = 180

Subtracting 154 from both sides, we get:

x = 180 - 154

x = 26

Therefore, the measure of the third angle is 26 degrees.