the image to answer the 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.
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To find the measure of the third angle of the triangle, we can use the Triangle Angle Sum Theorem, which 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 the measure of the third angle by subtracting the sum of angles A and B from 180 degrees.
Third angle = 180 degrees - (angle A + angle B)
Third angle = 180 degrees - (120 degrees + 34 degrees)
Third angle = 180 degrees - 154 degrees
Third angle = 26 degrees
Therefore, the measure of the third angle of the triangle is 26 degrees.