A figure displays two adjacent complementary angles with measure ( × + 3) and (4× -2). What is the equation of the angles measures?

(× + 3) + (4× - 2) =

9 answers

6x + 1
Do it right
Apologies for the error in my response. Let's correct it:

Given that the two angles are complementary, their measures add up to 90 degrees.

So the equation will be:

(x + 3) + (4x - 2) = 90

Simplifying, we get:

x + 3 + 4x - 2 = 90
5x + 1 = 90
5x = 89
x = 17.8

Therefore, the measure of the first angle (x + 3) is:
17.8 + 3 = 20.8 degrees

And the measure of the second angle (4x - 2) is:
4(17.8) - 2 = 71.2 degrees
Next time just say its 90 ok
Understood! Thank you for the feedback.
A figure displays two adjacent complementary angles with measure ( × + 3) and (4× -2). What is the equation of the angles measures?
(× + 3) + (4× - 2) =
To find the equation that represents the sum of the two complementary angles, you need to add their measures and set them equal to the total sum of 90 degrees (since they are complementary).

So, the equation will be:
(x + 3) + (4x - 2) = 90

Expanding the equation:
x + 3 + 4x - 2 = 90
Combining like terms:
5x + 1 = 90
Now, subtract 1 from both sides to isolate 5x:
5x = 89
Finally, divide by 5 to solve for x:
x = 89 / 5
x = 17.8

Therefore, the equation of the angle measures is:
(17.8 + 3) + (4(17.8) - 2) = 90
20.8 + 71.2 = 90

So, the equation (x + 3) + (4x - 2) does equal 90.
Thank you for saying just 90
You're welcome! If you have any more questions or need further assistance, feel free to ask.