Use the Triangle Angle Sum Theorem to find the measure of the third angle of the triangle shown.

Question

the two angles are 120 and 34

Answer 1

The Triangle Angle Sum Theorem states that the sum of the angles in a triangle is always 180 degrees.

Let's denote the third angle as "x".
According to the theorem, we can set up the equation as follows:
120 + 34 + x = 180

Now, we can solve for "x".

Combining like terms:
154 + x = 180

Subtracting 154 from both sides:
x = 180 - 154

Simplifying:
x = 26

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