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

70°
and 25°
70 degrees and 25 degrees

30°
and 60°
30 degrees and 60 degrees

60°
and 90°

Answer 1

To find the measures of the two angles formed by \(x\)° and \((x+30)\)°, we know that a right angle is \(90°\). Therefore, we can set up the equation:

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

Combining like terms gives us:

\[ 2x + 30 = 90 \]

Subtracting 30 from both sides yields:

\[ 2x = 60 \]

Dividing by 2 gives us:

\[ x = 30 \]

Now we can find the two angles:

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

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

The correct response is:

30° and 60°.