Answer:
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The measurements of the 2 (TWO) supplementary angles are:
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58° and 122° .
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Explanation:
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Two supplementary angles:
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Angle 1: "x:
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Angle 2: "(6 + 2x)"
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All supplementary angles, by definition, add up to 180 degrees, so given that the 2 (two) angles are supplementary:
(x) + (6 + 2x) = 180 ; Find "x" and "(6 + 2x)" .
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x + 6 + 2x = 180 ;
3x + 6 = 180 ;
Subtract "6" from each side of the equation ;
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3x + 6 − 6 = 180 − 6 ;
3x = 174 ;
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Divide each side of the equation by "3" ;
to isolate "x" on one side of the equation ; and to solve for "x" ;
3x / 3 = 172 / 3 ;
x = 58 ;
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So:
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Angle 1: "x" : x = 58 .
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Angle 2: "(6 + 2x)" = " 6 + 2(58) = 122 .
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122 + 58 =? 180 ? Yes!
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So, the measurements of the 2 (TWO) supplementary angles are:
58° and 122° .
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