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Find the angle and its complementary angle

3/10/2021

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An angle measures 35.4° more than the measure of its complementary angle. What is the measure of each angle?

x = one angle
x + 35.4 = other angle
{an angle measures 35.4º more than its complementary angle}

x + x + 35.4 = 90 {complementary angles add up to 90º}
2x + 35.4 = 90 {combined like terms}
2x = 54.6 {subtracted 35.4 from each side}
x = 27.3 {divided each side by 2}
x + 35.4 = 62.7 {substituted 27.3, in for x, into x + 35.4}

27.3º and 62.7º are the two angles

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Algebra House
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