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Supplementary angles are angles whose wine up to 180 degrees . Two supplementary angles are such that one angle is 5 degrees less than four times the other. Find the measures of the angles

Respuesta :

absor201

The angles are 37° and 143°

Step-by-step explanation:

Supplementary angles are thoe angles that sum up to 180 degrees

In the given case,,

Let x be one angle

Then the other angle will be:

4x-5

So,

[tex]x+ (4x-5) = 180\\x+4x-5 = 180\\5x - 5 = 180\\5x = 180+5\\5x = 185[/tex]

Dividing both sides by 5

[tex]\frac{5x}{5} = \frac{185}{5}\\x = 37[/tex]

The other angle will be:

[tex]4x-5 = 4(37) - 5 = 148 - 5 = 143[/tex]

So,

The angles are 37° and 143°

Keywords: Supplementary angles

Learn more about angles at:

  • brainly.com/question/6779145
  • brainly.com/question/6738897

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