Use the triangle angle sum theorem to find the
Measure of the angle on point c
To find the measure of angle C, we first need to calculate the measures of angles A and B using the triangle angle sum theorem, which states that the sum of the interior angles of a triangle is always 180 degrees.
Let's assume that angle A = x, angle B = 2x, and angle C = 3x.
x + 2x + 3x = 180
6x = 180
x = 30
Now that we have found the measure of angle A, we can calculate the measures of angles B and C:
Angle A = 30 degrees
Angle B = 2(30) = 60 degrees
Angle C = 3(30) = 90 degrees
Therefore, the measure of angle C is 90 degrees.