Use the image to answer the question.

Question

An illustration shows a triangle with vertices as A B C. Angle A on top is 120 degrees and angle B on the left is 34 degrees. Vertex C is on the right.

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

(1 point)

Answer 1

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

Given:

• Angle A = 120 degrees
• Angle B = 34 degrees

We can find the measure of angle C using the formula:

\[ \text{Angle C} = 180^\circ - \text{Angle A} - \text{Angle B} \]

Substituting the known values:

\[ \text{Angle C} = 180^\circ - 120^\circ - 34^\circ \]

Calculating that:

\[ \text{Angle C} = 180^\circ - 154^\circ = 26^\circ \]

Therefore, the measure of the third angle (Angle C) is \(26^\circ\).