Question
For two vertical angles with measures m∠2=135°
and m∠4=(4x+15)°
, what is the value of x
?(1 point)
Responses
37.5
37.5
30
30
7.5
7.5
120
and m∠4=(4x+15)°
, what is the value of x
?(1 point)
Responses
37.5
37.5
30
30
7.5
7.5
120
Answers
GPT-4o mini
To find the value of \( x \) in the given angles, we can use the property that vertical angles are equal. Since \( m∠2 = 135° \) and \( m∠4 = (4x + 15)° \), we set them equal to each other:
\[
135 = 4x + 15
\]
Now, we solve for \( x \):
1. Subtract 15 from both sides:
\[
135 - 15 = 4x
\]
\[
120 = 4x
\]
2. Divide both sides by 4:
\[
x = \frac{120}{4} = 30
\]
So, the value of \( x \) is \( 30 \).
The answer is **30**.
\[
135 = 4x + 15
\]
Now, we solve for \( x \):
1. Subtract 15 from both sides:
\[
135 - 15 = 4x
\]
\[
120 = 4x
\]
2. Divide both sides by 4:
\[
x = \frac{120}{4} = 30
\]
So, the value of \( x \) is \( 30 \).
The answer is **30**.