Question
Use the triangle angle sum theorem to find the measure of the angle point C? why is 81 correct
Answers
GPT-4o mini
The triangle angle sum theorem states that the sum of the angles in a triangle is always 180 degrees. If you are given the measures of angles A and B in triangle ABC, you can find the measure of angle C by using the following formula:
\[
\text{Angle C} = 180^\circ - \text{Angle A} - \text{Angle B}
\]
If angles A and B are given as, for example, 50 degrees and 49 degrees respectively, you would calculate angle C as follows:
\[
\text{Angle C} = 180^\circ - 50^\circ - 49^\circ = 180^\circ - 99^\circ = 81^\circ
\]
Thus, if angle A is 50 degrees and angle B is 49 degrees, then angle C measures 81 degrees, and that's why 81 is correct in this context.
To confirm the angle sum theorem, you can add angles A, B, and C together:
\[
50^\circ + 49^\circ + 81^\circ = 180^\circ
\]
If you provide specific angles A and B, I can help you confirm or calculate angle C more precisely.
\[
\text{Angle C} = 180^\circ - \text{Angle A} - \text{Angle B}
\]
If angles A and B are given as, for example, 50 degrees and 49 degrees respectively, you would calculate angle C as follows:
\[
\text{Angle C} = 180^\circ - 50^\circ - 49^\circ = 180^\circ - 99^\circ = 81^\circ
\]
Thus, if angle A is 50 degrees and angle B is 49 degrees, then angle C measures 81 degrees, and that's why 81 is correct in this context.
To confirm the angle sum theorem, you can add angles A, B, and C together:
\[
50^\circ + 49^\circ + 81^\circ = 180^\circ
\]
If you provide specific angles A and B, I can help you confirm or calculate angle C more precisely.