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(y – 20)° and (y + 30)° are the measures of complementary angles. Find the measure of each angle.

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(y – 20)° and (y + 30)° are the measures of complementary angles. 

∴ (y – 20) + (y + 30) = 90 

∴ y + y + 30 – 20 = 90 

∴ 2y+10 = 90 

∴ 2y = 90 – 10 

∴ 2y = 80 

∴ y =80/2

 = 40 Measure of first angle = (y – 20)° = (40 – 20)° = 20° 

Measure of second angle = (y + 30)° = (40 + 30)° = 70°

∴ The measure of the two angles is 20° and 70°.

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