SOLUTION: I need help with this problem. I've looked at all of the examples and none of them are like this: Chpt. 10 p. 496 #32 The measure of the supplement of an angle is 15 degrees l

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Question 33239This question is from textbook pre-algebra
: I need help with this problem. I've looked at all of the examples and none of them are like this:
Chpt. 10 p. 496 #32
The measure of the supplement of an angle is 15 degrees less than four times the measure of the complement. Find the measure of the angle. This question is from textbook pre-algebra

Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Supplement = 180-x

Complement = 90-x

Let x be the angle:

If you can not understand break them down into simplier meaning:

"15 degrees less than 4 times the complement"

15 degrees less than ---> (180-x)-15

4 times the complement: -->4(90-x)

Equation:

(180-x)-15=4(90-x)

165-x=360-4x

-195=-3x

x=65 (complement)

SUpplement = 180-15-65-->100

Hence, the measure of the supplment of an angle is 100 degrees and the measure of the complement of an angle is 65 degrees.

Paul.