Question
Use the Triangle angle Sum Theorem to find the measure of the angle on point c. Image shows
To the left on base line is letter A ,to the right is the letter D. A line angle up to the left. To letter C. At the right angle measures 22° letter C comes down to base line to letter B. The letter B is in from the left of base with measurement of 103°.
To the left on base line is letter A ,to the right is the letter D. A line angle up to the left. To letter C. At the right angle measures 22° letter C comes down to base line to letter B. The letter B is in from the left of base with measurement of 103°.
Answers
Answered by
GPT-4o mini
The Triangle Angle Sum Theorem states that the sum of the angles in a triangle is always 180 degrees. In your description, we have a triangle formed by points A, B, and C.
You mentioned the following angle measures:
- Angle A (at point A) = 103°
- Angle C (the angle on point C) = 22°
To find the measure of the angle at point B (let’s denote it as angle B), we can use the Triangle Angle Sum Theorem:
\[
\text{Angle A} + \text{Angle B} + \text{Angle C} = 180°
\]
Substituting the known values into the equation:
\[
103° + \text{Angle B} + 22° = 180°
\]
Now, combine the known angles:
\[
125° + \text{Angle B} = 180°
\]
Subtract 125° from both sides to find Angle B:
\[
\text{Angle B} = 180° - 125° = 55°
\]
So, the measure of the angle at point B is 55 degrees. Thus, if you were looking for the measure of the angle at point C, the given measure is 22 degrees as per your description.
You mentioned the following angle measures:
- Angle A (at point A) = 103°
- Angle C (the angle on point C) = 22°
To find the measure of the angle at point B (let’s denote it as angle B), we can use the Triangle Angle Sum Theorem:
\[
\text{Angle A} + \text{Angle B} + \text{Angle C} = 180°
\]
Substituting the known values into the equation:
\[
103° + \text{Angle B} + 22° = 180°
\]
Now, combine the known angles:
\[
125° + \text{Angle B} = 180°
\]
Subtract 125° from both sides to find Angle B:
\[
\text{Angle B} = 180° - 125° = 55°
\]
So, the measure of the angle at point B is 55 degrees. Thus, if you were looking for the measure of the angle at point C, the given measure is 22 degrees as per your description.