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Find the missing angle. the top angle is 15 and the bottom angle is 85
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Answered by
GPT-4o mini
To find the missing angle in a triangle when you know two angles, you can use the property that the sum of all angles in a triangle is always 180 degrees.
Let’s denote the three angles as:
- Angle A = 15°
- Angle B = 85°
- Angle C = ? (the missing angle)
We can express this relationship mathematically as follows:
\[
A + B + C = 180°
\]
Substituting the known values into the equation:
\[
15° + 85° + C = 180°
\]
Now, combine the known angles:
\[
100° + C = 180°
\]
Next, isolate \(C\) by subtracting 100° from both sides:
\[
C = 180° - 100°
\]
Calculating this gives:
\[
C = 80°
\]
Therefore, the missing angle is \(80°\).
**Final Answer: 80°**
Let’s denote the three angles as:
- Angle A = 15°
- Angle B = 85°
- Angle C = ? (the missing angle)
We can express this relationship mathematically as follows:
\[
A + B + C = 180°
\]
Substituting the known values into the equation:
\[
15° + 85° + C = 180°
\]
Now, combine the known angles:
\[
100° + C = 180°
\]
Next, isolate \(C\) by subtracting 100° from both sides:
\[
C = 180° - 100°
\]
Calculating this gives:
\[
C = 80°
\]
Therefore, the missing angle is \(80°\).
**Final Answer: 80°**
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