SOLUTION: the measure of an angle is x degrees. the measure of its supplementary angle is 4x+5 find the value of x

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Question 911764: the measure of an angle is x degrees. the measure of its supplementary angle is 4x+5 find the value of x
Answer by josh_jordan(263) About Me  (Show Source):
You can put this solution on YOUR website!
Supplementary angles are angles that add up to 180 degrees. In order to solve for x, we need to set the question up as an equation. So,

x + 4x + 5 = 180

Next, combine the x and the 4x:

5x + 5 = 180

Next, we need to isolate the x. To do this, we first subtract 5 from both sides of the equation:
5x + 5 - 5 = 180 - 5

5x = 175

Finally, divide both sides of the equation by 5:

5x%2F5+=+175%2F5

x = 35

So, the value of x is 35 degrees