SOLUTION: Find the measure of an angle whose supplement is 10 degrees more than twice its complement. Let 90 - x equal the degree measure of its complement and 180-x equal the degree of meas

Question 214297: Find the measure of an angle whose supplement is 10 degrees more than twice its complement. Let 90 - x equal the degree measure of its complement and 180-x equal the degree of measure of its supplement. how do I write the equation?
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the measure of an angle whose supplement is 10 degrees more than twice its complement. Let 90 - x equal the degree measure of its complement and 180-x equal the degree of measure of its supplement. how do I write the equation?
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Let the angle be "x"
Supplement is "180-x"
Complement is "90-x"
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Equation:
supplement = 2*complement + 10
180-x = 2(90-x) + 10
180-x = 180 - 2x + 10
-x = -2x+10
x = 10 degrees
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Cheers,
Stan H.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Just like it is written in words:

An angle whose supplement () is (=) 10 more than (10 + ) twice its complement ().

John

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