If the ratio of three supplementary angles are 5:3:4. Find the angles
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The sum of the interior angles of a triangle will be 180°
Therefore, think of the ratios of 5:4:3 as variables followed by "x" (5x, 4x, and 3x).
Combine like terms and set the equation equal to 180, the amt. of degrees in a triangle:
5x+4x+3x= 12x
Now, divide to isolate for
x:(180/12)= 15
, so x = 15
Now, substitute x for 15 in your variables:
3 x , 4 x , and 5 x
3(15), 4(15), and 5(15)
45, 60, and 75 = 180
Therefore, 45 is the smallest angle.
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