Respuesta :

Solution:

We know that:

  • A pair of supplementary angles always sum up to 180°

This means that:

  • [tex]x + x + 126 = 180[/tex]

Step-by step calculations:

Combine like terms and simplify:

  • [tex]x + x + 126 = 180[/tex]
  • => [tex](x + x) + 126 = 180[/tex]
  • => [tex]2x + 126 = 180[/tex]

Subtract 126 both sides:

  • => [tex]2x + 126 - 126 = 180 - 126[/tex]
  • => [tex]2x = 54[/tex]

Divide 2 both sides:

  • => [tex]\frac{2x}{2} = \frac{54}{2}[/tex]
  • => [tex]x = 27[/tex]

This means that one angle is 27°. Let's find the other angle.

Finding the other angle:

  • [tex]27 + 126 = Other \space\ angle[/tex]
  • => [tex]153 \space\ = Other \space\ angle[/tex]

Thus, the measure of the angles are 27° and 153°.

iciclepiano18

Answer:

27° and 153°

Step-by-step explanation:

Let "x" represent the angle.

We know that supplementary angles must add up to 180 degrees.

First, let's set up an expression for the supplement of the angle "x":

x+126

Now, let's use this information to set up an equation:

[tex]x+x+126=180[/tex]

Combine like terms:

[tex]2x+126=180[/tex]

Subtract 126 from both sides:

[tex]2x=54[/tex]

Divide both sides by 2

[tex]x=27[/tex]

The supplement would be:

[tex]x+126=27+126=153[/tex]

Therefore the measures of the two angles are:

27° and 153°

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