A right angle is formed by two adjacent angles with measures of (x)°

Question

and (x+30)°
. What are the two angle measures?(1 point)
Responses

75°
and 105°
75 degrees and 105 degrees

60°
and 90°
60 degrees and 90 degrees

70°
and 25°
70 degrees and 25 degrees

30°
and 60°

Answer 1

To find the measures of the two angles that form a right angle, we set up the equation based on the given angle measures.

A right angle measures 90°. The two angles are \( x \)° and \( (x + 30) \)°.

The equation is:

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

Simplifying this gives:

\[ 2x + 30 = 90 \]

Subtracting 30 from both sides:

\[ 2x = 60 \]

Dividing by 2:

\[ x = 30 \]

Now we can find the measures of the two angles:

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

So, the two angle measures are:

30° and 60°

The correct response is: 30° and 60°.