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The measure of an angle is 10 more than thrice the measure of its supplement. find the angles.

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ROZELCASTANEDA19IN

The measure of the supplement of an angle is 10 more than thrice the measure of the angle.find the measure of each.

RKTMOBILEZIN

Let

x = be the measure of the bigger angle,

180 - x = supplement angle (smaller angle)

Equation:

x = 3(180 - x) + 10

x = 540 - 3x + 10

x = 550 - 3x

x + 3x = 550

4x = 550

x = 550/4

x = 137.5°

solve for its supplement angle,

supplement angle (smaller angle) = 180 - x

supplement angle (smaller angle) = 180 - 137.5

supplement angle (smaller angle) = 42.5°

So the 2 angles are 137.5° and 42.5° .

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