A right angle is formed by two adjacent angles with measures of (x)° and (x+30)° . What are the two angle measures?(1 point)

Question

Responses

70° and 25°
70 degrees and 25 degrees

30° and 60°
30 degrees and 60 degrees

60° and 90°
60 degrees and 90 degrees

75° and 105°

Answer 1

To find the measures of the two angles, we start with the information given.

We have two adjacent angles, one measuring \( x \) degrees and the other measuring \( x + 30 \) degrees. Since they form a right angle, their sum must equal 90 degrees:

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

This simplifies to:

\[ 2x + 30 = 90 \]

Now, subtract 30 from both sides:

\[ 2x = 60 \]

Then, divide both sides by 2:

\[ x = 30 \]

Now we can find the measures of the angles:

1. The first angle is \( x = 30° \).
2. The second angle is \( x + 30 = 30 + 30 = 60° \).

Thus, the two angles are \( 30° \) and \( 60° \).

The correct response is 30° and 60°.