SOLUTION: "find the measure of an angle its measure is 5 times as large as its supplement" "find the measure of an angle if its measure is 10 more than four times its complement"

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Question 159153: "find the measure of an angle its measure is 5 times as large as its supplement"



"find the measure of an angle if its measure is 10 more than four times its complement"
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
The problem expects that you know:
Two angles are complementary if the sum of their angles equal 90.
Two angles are supplementary if the sum of their angles equal 180.
.
"find the measure of an angle its measure is 5 times as large as its supplement"
Let x = measure of the angle
then 180-x = supplement of the angle
and from: "the measure of an angle its measure is 5 times as large as its supplement" we get:
x = 5(180-x)
x = 900-5x
6x = 900
x = 900/6
x = 150 degrees

"find the measure of an angle if its measure is 10 more than four times its complement"
Let x = measure of an angle
then 90-x = complement of the angle
and from: "the measure of an angle if its measure is 10 more than four times its complement" we get
x = 4(90-x) + 10
x = 360 - 4x + 10
5x = 370
x = 74 degrees