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
15
15
30
30
20
and (x+30)°
that make up a 90°
angle, what is x
?(1 point)
Responses
60
60
15
15
30
30
20
Answers
GPT-4o mini
To find the value of \( x \), we can set up an equation based on the information given about the angles.
The two adjacent angles are \( x^\circ \) and \( (x + 30)^\circ \). Since they make up a right angle, their sum is \( 90^\circ \).
So, we can write the equation:
\[
x + (x + 30) = 90
\]
Simplifying this equation:
\[
2x + 30 = 90
\]
Subtracting 30 from both sides:
\[
2x = 90 - 30
\]
\[
2x = 60
\]
Dividing both sides by 2:
\[
x = 30
\]
Thus, the value of \( x \) is \( 30 \).
So the correct response is:
**30**
The two adjacent angles are \( x^\circ \) and \( (x + 30)^\circ \). Since they make up a right angle, their sum is \( 90^\circ \).
So, we can write the equation:
\[
x + (x + 30) = 90
\]
Simplifying this equation:
\[
2x + 30 = 90
\]
Subtracting 30 from both sides:
\[
2x = 90 - 30
\]
\[
2x = 60
\]
Dividing both sides by 2:
\[
x = 30
\]
Thus, the value of \( x \) is \( 30 \).
So the correct response is:
**30**