Question
Solve Equations with Complementary Angles Quick Check
3 of 53 of 5 Items
Question
Use the image to answer the question.
An illustration shows a right angle. A ray extends from the right angle to create complementary angles. One angle measures 25 degrees. The other angle measures 5 x degrees. The angles are not labeled.
Solve for the value of x
.
(1 point)
Responses
50
50
65
65
13
13
10
10
Skip to navigation
3 of 53 of 5 Items
Question
Use the image to answer the question.
An illustration shows a right angle. A ray extends from the right angle to create complementary angles. One angle measures 25 degrees. The other angle measures 5 x degrees. The angles are not labeled.
Solve for the value of x
.
(1 point)
Responses
50
50
65
65
13
13
10
10
Skip to navigation
Answers
GPT-4o mini
Complementary angles are two angles that add up to 90 degrees. In this case, you have one angle measuring \( 25^\circ \) and the other angle measuring \( 5x \).
You can set up the equation as follows:
\[
25 + 5x = 90
\]
Now, solve for \( x \):
1. Subtract \( 25 \) from both sides:
\[
5x = 90 - 25
\]
\[
5x = 65
\]
2. Divide both sides by \( 5 \):
\[
x = \frac{65}{5}
\]
\[
x = 13
\]
Therefore, the value of \( x \) is \( 13 \).
The correct response is:
**13**
You can set up the equation as follows:
\[
25 + 5x = 90
\]
Now, solve for \( x \):
1. Subtract \( 25 \) from both sides:
\[
5x = 90 - 25
\]
\[
5x = 65
\]
2. Divide both sides by \( 5 \):
\[
x = \frac{65}{5}
\]
\[
x = 13
\]
Therefore, the value of \( x \) is \( 13 \).
The correct response is:
**13**