Use the image to answer the question.
An illustration shows a triangle with vertices as B C D. Angle C on the top is labeled as a question mark and angle D on the bottom right is labeled as 22 degrees. Vertex B is on the bottom left. The horizontal line D B extends beyond the triangle to the left with an arrow at the end, and a point A is marked on it. The angle of A B C is labeled as 103 degrees.
Use the Triangle Angle Sum Theorem to find the measure of the angle on point C .
(1 point)
To find the measure of angle C, we can use the Triangle Angle Sum Theorem, which states that the sum of the interior angles in a triangle is always 180 degrees.
The given information includes the measures of angle D (22 degrees) and angle ABC (103 degrees). To find the measure of angle C, we can subtract the measures of angles D and ABC from 180 degrees:
Angle C = 180 degrees - angle D - angle ABC
Angle C = 180 degrees - 22 degrees - 103 degrees
Calculating this, we get:
Angle C = 180 degrees - 22 degrees - 103 degrees
Angle C = 55 degrees
Therefore, the measure of angle C is 55 degrees.