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
10
10
65
65
13
13
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Since the two angles are complementary, their measures add up to 90 degrees.
Let x represent the measure of the second angle.
25 + 5x = 90
Subtract 25 from both sides:
5x = 65
Divide both sides by 5:
x = 13
So the value of x is 13.
The correct answer is: 13
What are the two angle measures of complementary angles expressed as 3x° and (2x−5)° ?(1 point)
Responses
21° and 69°
21 degrees and 69 degrees
30° and 60°
30 degrees and 60 degrees
19° and 71°
19 degrees and 71 degrees
33° and 57°
33 degrees and 57 degrees
To find the measure of the complementary angles, you need to set up an equation.
Let's assume that one angle is represented by 3x°, and the other angle is represented by (2x-5)°.
Since the angles are complementary, their measures add up to 90°.
So, the equation becomes: 3x + (2x-5) = 90.
Combine like terms: 5x - 5 = 90.
Add 5 to both sides: 5x = 95.
Divide both sides by 5: x = 19.
Now you substitute x = 19 back into the expressions for the angle measures:
3x = 3(19) = 57°.
2x - 5 = 2(19) - 5 = 38 - 5 = 33°.
Therefore, the two angle measures of the complementary angles are 57° and 33°.
The correct answer is: 57° and 33°.
USE THE DANG ANSWER I USE NOT THAT HARD
Apologies for the confusion. Based on the initial question, the two angle measures of the complementary angles are 3x° and (2x-5)°.
Substitute x = 19 into the expressions:
3x = 3(19) = 57°.
2x - 5 = 2(19) - 5 = 38 - 5 = 33°.
Therefore, the two angle measures of the complementary angles are 57° and 33°.
The correct answer is: 57° and 33°.