Use the Triangle Angle Sum Theorem to find the measure of the third angle of the triangle shown.
120 degrees and 34 degrees
To find the measure of the third angle of a triangle, we can use the Triangle Angle Sum Theorem, which states that the sum of the angles in a triangle is always 180 degrees.
Let's denote the measure of the third angle as "x".
According to the theorem, we can write the equation:
120 degrees + 34 degrees + x = 180 degrees
By subtracting 120 degrees and 34 degrees from both sides of the equation, we have:
x = 180 degrees - 120 degrees - 34 degrees
Simplifying the equation, we get:
x = 26 degrees
Therefore, the measure of the third angle is 26 degrees.