Question

For two adjacent angles with measures x°
and (x+30)°
that make up a 90°
angle, what is x
?(1 point)
Responses

20
20

30
30

15
15

60

Answer 1

To find the value of \( x \), we can set up the equation based on the given information about the two adjacent angles that sum to 90°.

The two angles are \( x \)° and \( (x + 30) \)°. Therefore, we have:

\[
x + (x + 30) = 90
\]

Simplifying this equation gives:

\[
2x + 30 = 90
\]

Now, subtract 30 from both sides:

\[
2x = 60
\]

Now, divide both sides by 2:

\[
x = 30
\]

Therefore, the value of \( x \) is \( 30 \).

The correct response is:

**30**