Question
Find the missing angle 15 and 85. Show your work.(1 point)°Skip to navigation
Answers
GPT-4o mini
To find the missing angle when you have two angles, you can use the fact that the sum of angles in a triangle is always equal to \(180^\circ\).
Given two angles:
- Angle A = \(15^\circ\)
- Angle B = \(85^\circ\)
Let \(C\) be the missing angle. According to the triangle sum theorem:
\[
A + B + C = 180^\circ
\]
Substituting the known values into the equation, we have:
\[
15^\circ + 85^\circ + C = 180^\circ
\]
Now, calculate \(15^\circ + 85^\circ\):
\[
100^\circ + C = 180^\circ
\]
To find \(C\), subtract \(100^\circ\) from both sides:
\[
C = 180^\circ - 100^\circ
\]
\[
C = 80^\circ
\]
Thus, the missing angle \(C\) is \(80^\circ\).
**Final Answer:**
The missing angle is \(80^\circ\).
Given two angles:
- Angle A = \(15^\circ\)
- Angle B = \(85^\circ\)
Let \(C\) be the missing angle. According to the triangle sum theorem:
\[
A + B + C = 180^\circ
\]
Substituting the known values into the equation, we have:
\[
15^\circ + 85^\circ + C = 180^\circ
\]
Now, calculate \(15^\circ + 85^\circ\):
\[
100^\circ + C = 180^\circ
\]
To find \(C\), subtract \(100^\circ\) from both sides:
\[
C = 180^\circ - 100^\circ
\]
\[
C = 80^\circ
\]
Thus, the missing angle \(C\) is \(80^\circ\).
**Final Answer:**
The missing angle is \(80^\circ\).