Use the Triangle Angle Sum Theorem to find the measure of the third angle of the triangle shown.34 and 120
To find the measure of the third angle of the triangle, we first need to find the sum of the two given angles.
Angle 1 = 34 degrees
Angle 2 = 120 degrees
Sum of the two angles = 34 + 120 = 154 degrees
Now, we can use the Triangle Angle Sum Theorem, which states that the sum of the interior angles of a triangle is always 180 degrees.
Let the measure of the third angle be x degrees.
Sum of all three angles = x + 34 + 120 = 154 + x = 180
Subtracting 154 from both sides, we get:
x = 180 - 154
x = 26 degrees
Therefore, the measure of the third angle of the triangle is 26 degrees.