SOLUTION: The measure of the supplement of an angle is 10 percent more than four times the measure of the angle. Find the measures of both angles.
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Question 151591: The measure of the supplement of an angle is 10 percent more than four times the measure of the angle. Find the measures of both angles.
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!
We all know supplementary angles are angles that add to 180 degrees.
For that reason, we can make an equation ---------> eqn 1
It shows angle B is a supplemantary of angle A, and to satisfy the other condition 1 being more than it's measure angle.
Putting that into eqn, , right? ------> eqn 2
We multiply by because it's more.
.
Substitute eqn 2 in eqn 1 we have
--------->
The other angle as per eqn 1: ---->
To check:
As it stated the supplement angle more than it's measurement,go back eqn 2,
Also, in eqn 1
------------>
Thank you,
Jojo
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