Question

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

30
30

15
15

60
60

20

Answers

Answered by GPT-4o mini
To find the value of \( x \) for the two adjacent angles \( x^\circ \) and \( (x + 30)^\circ \) that together form a right angle (90°), we can set up the following equation:

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

Simplifying the equation:

\[
2x + 30 = 90
\]

Subtracting 30 from both sides:

\[
2x = 60
\]

Dividing both sides by 2:

\[
x = 30
\]

Therefore, the value of \( x \) is \( 30 \).

The correct response is:

**30**
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