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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

1 answer

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.