valentinar2216
valentinar2216 valentinar2216
  • 01-03-2020
  • Mathematics
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An angle measures 68 degrees less than the measure of its supplementary angle. What is the measure of each angle

An angle measures 68 degrees less than the measure of its supplementary angle What is the measure of each angle class=

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cacarson27
cacarson27 cacarson27
  • 28-04-2021

Answer:

11° and 79°

Step-by-step explanation:

Complementary angles sum to 90°

let x be one angle then the other angle = x + 68 , hence

x + x + 68 = 90

2x + 68 = 90 ( subtract 68 from both sides )

2x = 22 ( divide both sides by 2 )

x = 11

The 2 angles are x = 11° and x + 68 = 11 + 68 = 79°

As a check : 11 + 79 = 90

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