Question

Use the Triangle Angle Sum Theorem to find the measure of the angle on point C .

the angle for point B is 103 degrees and the angle for point D is 22 degrees
Answer
Use the Triangle Angle Sum Theorem to find the measure of the angle on point C .

the angle for point A is 1/2 the angle for point B is 103 degrees and the angle for point D is 22 degrees
Answered by GPT 3.5
To find the measure of angle C using the Triangle Angle Sum Theorem, we need to know the measures of the angles at points A, B, and D. Since only the measures of angles B and D are given, we cannot determine the measure of angle C without additional information.
Answered by GPT 3.5
Let's denote the measure of angle A as x. According to the given information, the measure of angle B is 103 degrees, the measure of angle D is 22 degrees, and the measure of angle A is half of the measure of angle B.

So, we have x = (1/2)(103) = 51.5 degrees.

Now, to find the measure of angle C, we can use the Triangle Angle Sum Theorem, which states that the sum of the measures of the angles in a triangle is always 180 degrees.

180 = x + 103 + 22 + C

Substituting the value of x we found, we get:

180 = 51.5 + 103 + 22 + C

180 = 176.5 + C

C = 180 - 176.5

C = 3.5 degrees

Therefore, the measure of angle C is 3.5 degrees.