For two adjacent angles with measures x°

and (x+30)°
that make up a 90°
angle, what is x
?(1 point)

1 answer

To solve for \( x \) in the two adjacent angles measuring \( x° \) and \( (x + 30)° \) that together make a \( 90° \) angle, you can set up the following equation:

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

Now, simplify the equation:

\[ x + x + 30 = 90 \]

\[ 2x + 30 = 90 \]

Next, subtract \( 30 \) from both sides:

\[ 2x = 90 - 30 \]

\[ 2x = 60 \]

Now, divide by \( 2 \):

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

So, the measure of the angle \( x \) is \( \boxed{30} \).