for two adjacent angles with measurements x and (x+30) that make up a 90 degree angle what is x

Answer 1

To find the value of \( x \) in the problem involving two adjacent angles that sum up to 90 degrees, we can set up the equation:

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

Now, combine like terms:

\[ 2x + 30 = 90 \]

Next, subtract 30 from both sides:

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

Now, divide both sides by 2:

\[ x = \frac{60}{2} \] \[ x = 30 \]

So, the value of \( x \) is \( 30 \) degrees.

To find the measure of the second angle, we can calculate \( x + 30 \):

\[ x + 30 = 30 + 30 = 60 \]

Therefore, the two angles are \( 30 \) degrees and \( 60 \) degrees, and they sum to \( 90 \) degrees, confirming our solution.