Question

A right angle is formed by two adjacent angle with measure of (x) and ( x + 30 ) what are the two angle measures?

75 and 105

60 and 90

7 and 25

70 and 25

30 and 60

Answer 1

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

We know that the sum of the two angles is 90 degrees:

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

Now, let's solve this equation:

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

Now we can find the measure of the two angles:

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

Therefore, the two angles are **30 degrees** and **60 degrees**.

From the list you provided, the correct option is:

- **30 and 60**.