Find the measure of two complementary angles

Find the measure of two complementary angles such that the larger angle is thrice that of the smaller.

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x = measure of smaller angle
3x = measure of larger angle {the larger is thrice (three times) the smaller}

x + 3x = 90 {complementary angles add up to 90°}
4x = 90 {combined like terms}
x = 22.5° {divided each side by 4}
3x = 67.5° {substituted 22.5, in for x, into 3x}

smaller angle = 22.5°
larger angle = 67.5°

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