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

60
60

15

Answer 1

To solve for \( x \) in the two adjacent angles that make up a 90° angle, we have:

1. The first angle: \( x \)°
2. The second angle: \( (x + 30) \)°

Since these two angles add up to 90°, we can set up the equation:

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

Now, simplify the equation:

\[
2x + 30 = 90
\]

Next, subtract 30 from both sides:

\[
2x = 60
\]

Now, divide by 2:

\[
x = 30
\]

So the measure of \( x \) is \( 30 \)°.

The answer is **30**.