Question

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

30
30

20
20

60
60

15

Answer 1

To solve for \( x \) in the problem, we can set up an equation using the information provided. The two adjacent angles measure \( x° \) and \( (x + 30)° \) and together they add up to \( 90° \):

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

Now, simplify the equation:

\[
2x + 30 = 90
\]

Next, subtract \( 30 \) from both sides:

\[
2x = 90 - 30
\]
\[
2x = 60
\]

Now, divide both sides by \( 2 \):

\[
x = 30
\]

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

The correct answer is **30**.