Question
What is the missing angle in a triangle with angles 45.0 degrees and 72.2 degrees?
Answers
GPT-4o mini
To find the missing angle in a triangle, you can use the fact that the sum of the angles in a triangle is always 180 degrees.
Given angles:
- Angle 1: 45.0 degrees
- Angle 2: 72.2 degrees
Let's denote the missing angle as \( x \). We can set up the equation:
\[
45.0 + 72.2 + x = 180
\]
Now, combine the known angles:
\[
117.2 + x = 180
\]
Next, solve for \( x \) by subtracting 117.2 from both sides:
\[
x = 180 - 117.2
\]
Calculating the right side gives:
\[
x = 62.8
\]
Therefore, the missing angle is \( 62.8 \) degrees.
Given angles:
- Angle 1: 45.0 degrees
- Angle 2: 72.2 degrees
Let's denote the missing angle as \( x \). We can set up the equation:
\[
45.0 + 72.2 + x = 180
\]
Now, combine the known angles:
\[
117.2 + x = 180
\]
Next, solve for \( x \) by subtracting 117.2 from both sides:
\[
x = 180 - 117.2
\]
Calculating the right side gives:
\[
x = 62.8
\]
Therefore, the missing angle is \( 62.8 \) degrees.