For two adjacent angles with measures x°

and (x+30)°
that make up a 90°
angle, what is x
?(1 point)
Responses

60
60

20
20

15
15

30

1 answer

To find the value of \( x \) for the two adjacent angles \( x° \) and \( (x + 30)° \) that make up a \( 90° \) angle, we can set up the following equation:

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

Simplifying this equation:

\[ x + x + 30 = 90 \] \[ 2x + 30 = 90 \]

Now, subtract 30 from both sides:

\[ 2x = 60 \]

Next, divide by 2:

\[ x = 30 \]

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

The correct response is:

30