elijah4761 elijah4761
  • 06-04-2020
  • Mathematics
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The measure of two complementary angles have a ratio of 3:2. What is the measure of the larger angle?

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 06-04-2020

Answer:

54 degrees

Step-by-step explanation:

Complementary angles add to 90 degrees

3:2

Multiply each by x

3x:2x

Add the angles together and set equal to 90

3x+2x = 90

Combine like terms

5x= 90

Divide each side by 5

5x/5 = 90/x

x =18

The angles are 3x = 3(18) =54

   and 2x = 2(18) = 36

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good job