Question
Two of the angles in a triangle measure 142° and 5°. What is the measure of the third angle?
Answers
GPT-4o mini
In a triangle, the sum of the angles is always 180°. To find the third angle, you can use the formula:
\[
\text{Third Angle} = 180° - (\text{First Angle} + \text{Second Angle})
\]
Substituting the given angles into the formula:
\[
\text{Third Angle} = 180° - (142° + 5°)
\]
Calculating the sum of the first two angles:
\[
142° + 5° = 147°
\]
Now subtract this from 180°:
\[
\text{Third Angle} = 180° - 147° = 33°
\]
Thus, the measure of the third angle is \( \boxed{33°} \).
\[
\text{Third Angle} = 180° - (\text{First Angle} + \text{Second Angle})
\]
Substituting the given angles into the formula:
\[
\text{Third Angle} = 180° - (142° + 5°)
\]
Calculating the sum of the first two angles:
\[
142° + 5° = 147°
\]
Now subtract this from 180°:
\[
\text{Third Angle} = 180° - 147° = 33°
\]
Thus, the measure of the third angle is \( \boxed{33°} \).