Question

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

A. 30° and 60°

B. 60° and 90°

C. 75° and 105°

D. 70° and 25°

Answer 1

To find the measures of the two angles, we start by using the information that they form a right angle. A right angle measures 90 degrees.

The two angles are:
- First angle: \( x \) degrees
- Second angle: \( x + 30 \) degrees

We can set up the equation:

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

Simplifying this:

\[
x + x + 30 = 90
\]
\[
2x + 30 = 90
\]
\[
2x = 90 - 30
\]
\[
2x = 60
\]
\[
x = 30
\]

Now we find the measures of the two angles:

1. First angle: \( x = 30 \) degrees
2. Second angle: \( x + 30 = 30 + 30 = 60 \) degrees

Thus, the two angles are 30° and 60°.

The correct answer is:

**A. 30° and 60°**