Question

For two adjacent angles with measures x°
and (x+30)°
that make up a 90°
angle, what is x
?(1 point)
Responses

20
20

15
15

60
60

30

Answer 1

To solve for \( x \) in the problem where two adjacent angles measure \( x° \) and \( (x + 30)° \) and add up to a right angle of \( 90° \), we can set up the equation:

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

Simplifying this equation:

\[
x + x + 30 = 90
\]
\[
2x + 30 = 90
\]
\[
2x = 90 - 30
\]
\[
2x = 60
\]
\[
x = \frac{60}{2}
\]
\[
x = 30
\]

Thus, the value of \( x \) is \( \boxed{30} \).