Answered

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The angles in the figure are supplementary. Calculating the value of x we ​​find:
X = 10
X = 20
X = 30
X = 40​

Sagot :

GreatNiclausidn

✒️[tex]\large{\mathcal{ANSWER}}[/tex]

[tex]======================[/tex]

  • We found the value of the unknown x to be equal to 20, but to get that result, we first need to remember what supplementary angles are.

• What are these supplementary angles?

•Supplementary angles are those in which their sum results in 180°.

[tex]------------------[/tex]

• Like this;

For example,

  • An angle of 120° and an angle of 60° are supplementary to each other, because 120° + 60° = 180°.

Knowing what supplementary angles are, we can solve the question:

Note;

  • That the only thing we have to do is make the 2 angles in the figure equal to 180°, since they are supplementary to each other, so let's build a first-degree equation, doing this, we have to:

[tex]6x + 15° + 2x + 5° = 180° \\ 8x + 20° = 180° \\ 8x = 180° - 20 °\\ 8x = 160° \\ x = \frac{160°}{80} \\ x= 20°[/tex]

  • Therefore, the correct alternative is the letter B.

[tex]−−−−−−−✠−−−−−−−[/tex]

Good studies and I hope I helped :)

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