maxmucha718 maxmucha718
  • 17-03-2022
  • Mathematics
contestada

An angle measures 70° more than the measure of its complementary angle. What is the measure of each angle?

Respuesta :

bacon321 bacon321
  • 17-03-2022

Step-by-step explanation:

Let an angle = x

x= 70+(90-x)

x= 160-x

2x=160

x=80

So angle is 80 and it's complementary angle would be 10

Answer Link
Jeor
Jeor Jeor
  • 17-03-2022

Answer:

55∘ and 125∘

Step-by-step explanation:

Supplementary angles sum to

180∘

let one angle be [tex]x[/tex]

then the other angle is [tex]x+70[/tex]

summing the 2 angles gives

[tex]x+x+7=180[/tex]

[tex]2x+70=180[/tex]

subtract 70 from both sides

[tex]2x=180 -70=110[/tex]

divide both sides by

[tex]2x=\frac{110}{2} =55[/tex]

thus the angles are

55∘ and  55 + 70= 125∘

Answer Link

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