two angles are supplementary.If the larger angle is thrice of the smaller,find the measures of the two angles
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2 supplementary angles sum to 180 degrees.
Since both angles are unknown, let's define them as x and y.
Since they are supplementary, we can write the following equation:
x + y = 180.
We were also given that one is three times the other. So we can also write this equation:
x = 3y (we could also write y = 3x instead, we would get the same answers, just swapped).
using 2 equations and 2 unknowns, we can solve for x and y:
Plug x = 3y into the other equation:
(3y) + y = 180
4y = 180
y = 45 degrees
plug y back into either equation to get x:
x = 3*45 = 135 degrees
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