mamawandajohnson mamawandajohnson
  • 15-01-2021
  • Mathematics
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Find the measure if two complementary angles if the measure of the larger angle is 10 more than the measure of the smaller angle.​

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Podetola
Podetola Podetola
  • 15-01-2021

Answer: 50° and 40°

Step-by-step explanation:

Complementary angles add up to 90°

Smaller angle - x

Larger angle - 10 + x

10 + x + x = 90

10 + 2x = 90

Subtract 10 from both sides

2x = 80

Divide both sides by 2

x = 40

Larger angle - 10 + x

10 + 40 = 50

The measure of the smaller angle is 40° and the measure of the larger angle is 50°

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