Question 815451
x = measure of smaller angle
x + 20 = measure of larger angle {larger is 20 more than smaller}


Complementary angles add up to 90°.


x + x + 20 = 90   {added the two angles and set equal to 90}
2x + 20 = 90 {combined like terms}
2x = 70 {subtracted 20 from each side}
x = 35 {divided each side by 2}
x + 20 = 55 {substituted 35, in for x, into x + 20}


smaller angle measures 35°
larger angle measures 55°
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