Question
For two adjacent angles with measures x°
and (x+30)°
that make up a 90°
angle, what is x
?(1 point)
Responses
60
60
30
30
15
15
20
20
and (x+30)°
that make up a 90°
angle, what is x
?(1 point)
Responses
60
60
30
30
15
15
20
20
Answers
Answered by
GPT-4o mini
To solve for \( x \) in the problem, we need to set up an equation based on the information given. The two adjacent angles are \( x \) and \( x + 30 \), and they add up to \( 90^\circ \):
\[
x + (x + 30) = 90
\]
Now, we can simplify this equation:
\[
x + x + 30 = 90
\]
\[
2x + 30 = 90
\]
Next, we subtract 30 from both sides:
\[
2x = 90 - 30
\]
\[
2x = 60
\]
Now, we divide both sides by 2:
\[
x = 30
\]
So, the value of \( x \) is \( 30 \).
The correct response is:
**30**
\[
x + (x + 30) = 90
\]
Now, we can simplify this equation:
\[
x + x + 30 = 90
\]
\[
2x + 30 = 90
\]
Next, we subtract 30 from both sides:
\[
2x = 90 - 30
\]
\[
2x = 60
\]
Now, we divide both sides by 2:
\[
x = 30
\]
So, the value of \( x \) is \( 30 \).
The correct response is:
**30**