Question

Use the Triangle Angle Sum Theorem to find the measure of the third angle of the triangle. A=120• and B=34• what does C=

Answer 1

The Triangle Angle Sum Theorem states that the sum of the angles in a triangle is always 180 degrees. Given that angle A is 120 degrees and angle B is 34 degrees, we can find angle C using the following formula:

\[
C = 180° - A - B
\]

Substituting the values of A and B:

\[
C = 180° - 120° - 34°
\]

Calculating it step-by-step:

1. First, subtract angle A from 180°:
\[
180° - 120° = 60°
\]

2. Then subtract angle B from the result:
\[
60° - 34° = 26°
\]

Therefore, the measure of angle C is \( \boxed{26°} \).