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

Answer 1

To find the measure of \( x \) for the two adjacent angles \( x^\circ \) and \( (x + 30)^\circ \), which together sum to \( 90^\circ \), we can set up the following equation:

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

Combining like terms, we have:

\[
2x + 30 = 90
\]

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

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

Now, we divide by \( 2 \):

\[
x = \frac{60}{2}
\]
\[
x = 30
\]

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