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Question

Triangle Angle Sum Theorem Practice
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Question
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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)
°
Remaining Attempts : 3
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Answer 1

To find the measure of the third angle of the triangle using the Triangle Angle Sum Theorem, you can use the following formula:

\[ \text{Sum of angles in a triangle} = 180^\circ \]

Given:

• Angle A = 120°
• Angle B = 34°

To find the measure of Angle C, you can set up the equation:

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

Substituting the known values:

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

Combine the angles:

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

Now, subtract 154° from both sides to solve for Angle C:

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

Therefore, the measure of the third angle (Angle C) is 26°.