For two adjacent angles with measures x°

Question

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.