Question
Solve Equations with Adjacent Angles Quick Check
2 of 52 of 5 Items
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
60
60
15
15
20
20
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Answers
GPT-4o mini
To solve for \( x \) in the two adjacent angles, we know that the sum of the angles must equal 90°. The measures of the angles are \( x° \) and \( (x + 30)° \).
We can set up the equation:
\[
x + (x + 30) = 90
\]
Simplifying this, we get:
\[
2x + 30 = 90
\]
Next, subtract 30 from both sides:
\[
2x = 60
\]
Now, divide by 2:
\[
x = 30
\]
So, the value of \( x \) is **30**.
We can set up the equation:
\[
x + (x + 30) = 90
\]
Simplifying this, we get:
\[
2x + 30 = 90
\]
Next, subtract 30 from both sides:
\[
2x = 60
\]
Now, divide by 2:
\[
x = 30
\]
So, the value of \( x \) is **30**.