Question
Use the Triangle Angle Sum Theorem to find the measure of the third angle of the triangle shown.
The image shows a triangle. There are three letters: b, a, and c. Next to b there is the number: 34 degrees. Next to a there is the number: 120 degrees
The image shows a triangle. There are three letters: b, a, and c. Next to b there is the number: 34 degrees. Next to a there is the number: 120 degrees
Answers
GPT-4o mini
The Triangle Angle Sum Theorem states that the sum of the angles in a triangle is always 180 degrees.
Given the measures of two angles in the triangle:
- Angle a = 120 degrees
- Angle b = 34 degrees
To find the measure of the third angle (let's call it angle c), we can use the following equation:
\[
\text{Angle a} + \text{Angle b} + \text{Angle c} = 180^\circ
\]
Substituting the known values:
\[
120^\circ + 34^\circ + \text{Angle c} = 180^\circ
\]
Now, add the measures of angle a and angle b:
\[
120^\circ + 34^\circ = 154^\circ
\]
Now, we have:
\[
154^\circ + \text{Angle c} = 180^\circ
\]
To find angle c, subtract 154 degrees from both sides:
\[
\text{Angle c} = 180^\circ - 154^\circ = 26^\circ
\]
Therefore, the measure of the third angle (angle c) is **26 degrees**.
Given the measures of two angles in the triangle:
- Angle a = 120 degrees
- Angle b = 34 degrees
To find the measure of the third angle (let's call it angle c), we can use the following equation:
\[
\text{Angle a} + \text{Angle b} + \text{Angle c} = 180^\circ
\]
Substituting the known values:
\[
120^\circ + 34^\circ + \text{Angle c} = 180^\circ
\]
Now, add the measures of angle a and angle b:
\[
120^\circ + 34^\circ = 154^\circ
\]
Now, we have:
\[
154^\circ + \text{Angle c} = 180^\circ
\]
To find angle c, subtract 154 degrees from both sides:
\[
\text{Angle c} = 180^\circ - 154^\circ = 26^\circ
\]
Therefore, the measure of the third angle (angle c) is **26 degrees**.
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Correct good job