SOLUTION: find the measure of an angle such that the difference between the measures of its supplement and three times its complement is 10 degrees
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-> SOLUTION: find the measure of an angle such that the difference between the measures of its supplement and three times its complement is 10 degrees
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You can put this solution on YOUR website! find the measure of an angle such that the difference between the measures of its supplement and three times its complement is 10 degrees
:
Let = the angle
then
(180-x) = it's supplement
and
(90-x) = it's complement
:
The equation for:
"the difference between the measures of its supplement and three times its complement is 10 degrees"
(180-x) - 3(90-x) = 10
:
180 - x - 270 + 3x = 10
:
Combine like terms:
-x + 3x + 180 - 270 = 10
:
2x - 90 = 10
:
2x = 10 + 90
:
2x = 100
x =
x = 50 degrees
:
:
Is this true?
(180-50) - 3(90-50) = 10
130 - 3(40) = 10; confirms our solution
