The measure of one angle is 47(degrees) less than the measure of its supplement. Find the measure of each angle.
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Supplementary angles are angles whose measures add up to 180 degrees.
If one angle measures x and its supplement measures y, then
x + y = 180.
yeah i know that i just didnt get dis question set up
Now try to express the angle of measure y in terms of x.
Start with x + y = 180 and solve for y:
x + y = 180
-x - x
y = 180 - x
Now you see that for two supplementary angles, if one is x, the other one is 180 -x.
Now you follow what the problem tells you:
The measure of one angle is 47(degrees) less than the measure of its supplement.
x = 180 - x - 47
x = 180 - x - 47
Solve for x. then find 180 - x to find the measure of the supplement.