To find the measure of the third angle of the triangle, we can use the Triangle Angle Sum Theorem. This 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 subtract the sum of these two angles from 180 degrees to find the measure of the third angle:
180 degrees - 120 degrees - 34 degrees = 26 degrees
Therefore, the measure of the third angle of the triangle shown is 26 degrees.
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.
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