stevensonbarrio stevensonbarrio
  • 10-12-2018
  • Mathematics
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Two angles are complementary. Angle 1 is 15 degrees more than angle 2. What is the measure of angle 2?

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 10-12-2018

Answer:

<2 = 37.5 degrees

Step-by-step explanation:

Complementary angles add together to equal 90 degrees.

Let < 1 = x  and < 2 = y

x + y= 90

x = y+15

Substitute the second equation into the first equation.

(y + 15) + y = 90

Combine like terms

2 y + 15 = 90

Subtract 15 from each side.

2y+15-15 = 90-15

2y =75

Divide each side by 2

2y/2 = 75/2

y = 37.5

<2 = 37.5 degrees


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