Use 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.
The Triangle Angle Sum Theorem states that the sum of the three angles in any triangle is always 180 degrees.
Given that angle A is 120 degrees and angle B is 34 degrees, we can add these two angles together to find the measure of the third angle:
120 degrees + 34 degrees = 154 degrees
Therefore, the measure of the third angle of the triangle is 154 degrees.
Wrong
I apologize for the incorrect response.
To find the measure of the third angle of the triangle, we can subtract the sum of the given angles from 180 degrees.
Given that angle A is 120 degrees and angle B is 34 degrees, we can find the measure of the third angle as follows:
180 degrees - (120 degrees + 34 degrees) = 180 degrees - 154 degrees = 26 degrees
Therefore, the measure of the third angle of the triangle is 26 degrees.