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  • 19-02-2022
  • Mathematics
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An angle measures 60° less than the measure of its complementary angle. What is the measure of each angle?

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 19-02-2022

Answer:

The angles are 75, 15

Step-by-step explanation:

The two angles are x and y

x+y = 90  because complementary angles add to 90

x = y-60

Substitute the second equation into the first

y-60 +y = 90

2y -60 = 90

Add 60 to each side

2y -60+60 = 90+60

2y =150

Divide by 2

2y/2 =150/2

y = 75

x = y-60 =75-60 = 15

The angles are 75, 15

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