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
15
15
20
20
30
30
60
Answers
GPT-4o mini
To solve for \( x \) in the equation of adjacent angles that sum to \( 90^\circ \):
1. The measures of the two adjacent angles are \( x \) and \( (x + 30) \).
2. Since they form a right angle, we can set up the equation:
\[
x + (x + 30) = 90
\]
3. Simplifying this equation:
\[
2x + 30 = 90
\]
4. Subtract \( 30 \) from both sides:
\[
2x = 60
\]
5. Divide by \( 2 \):
\[
x = 30
\]
Therefore, the measure of angle \( x \) is \( 30^\circ \).
The correct answer is **30**.
1. The measures of the two adjacent angles are \( x \) and \( (x + 30) \).
2. Since they form a right angle, we can set up the equation:
\[
x + (x + 30) = 90
\]
3. Simplifying this equation:
\[
2x + 30 = 90
\]
4. Subtract \( 30 \) from both sides:
\[
2x = 60
\]
5. Divide by \( 2 \):
\[
x = 30
\]
Therefore, the measure of angle \( x \) is \( 30^\circ \).
The correct answer is **30**.