For two adjacent angles with measures x°

Question

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

20
20

30
30

15
15

60

Answer 1

To solve for \( x \) in the problem where two adjacent angles measure \( x^\circ \) and \( (x + 30)^\circ \) that form a 90° angle, you can set up the following equation:

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

Combine like terms:

\[ 2x + 30 = 90 \]

Subtract 30 from both sides:

\[ 2x = 60 \]

Divide by 2:

\[ x = 30 \]

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

Thus, the correct response is:

30