Question
One angle measures 150°, and another angle measures (2k + 88)°. If the angles are vertical angles, determine the value of k.
k = 12
k = 31
k = 62
k = 75
k = 12
k = 31
k = 62
k = 75
Answers
GPT-4o mini
Vertical angles are equal, which means that if one angle measures 150°, then the other angle, which measures \((2k + 88)°\), must also equal 150°.
We can set up the equation:
\[
2k + 88 = 150
\]
Now, we'll solve for \(k\):
1. Subtract 88 from both sides:
\[
2k = 150 - 88
\]
\[
2k = 62
\]
2. Divide both sides by 2:
\[
k = \frac{62}{2}
\]
\[
k = 31
\]
Thus, the value of \(k\) is **31**.
We can set up the equation:
\[
2k + 88 = 150
\]
Now, we'll solve for \(k\):
1. Subtract 88 from both sides:
\[
2k = 150 - 88
\]
\[
2k = 62
\]
2. Divide both sides by 2:
\[
k = \frac{62}{2}
\]
\[
k = 31
\]
Thus, the value of \(k\) is **31**.