GiveMeTheAnswer69idn
Answered

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∠5 and ∠6 are vertical angles. If m∠5=6x and m∠6=4x+6. What is the value of x and m∠5?

Sagot :

MissJindySummeridn

[tex]\color{lime}\underline\mathbb{QUESTION:}[/tex]

∠5 and ∠6 are vertical angles. If m∠5=6x and m∠6=4x+6. What are the value of x and m∠5?

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To answer your question, let us first define what is vertical angles.

What are vertical angles?

  • Vertical angles are pairs of congruent angles that are opposite to each other formed by intersecting lines.

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Going back to the question, let us know the value of ∠5 and ∠6.

  • ∠5 = 6x
  • ∠6 = 4x + 6

Since they are congruent, we'll find the value of x.

  • 6x = 4x + 6
  • 6x - 4x = 6
  • 2x = 6
  • x = 6/2
  • x = 3

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No we already found the value of x since you were finding it. Meanwhile, you are finding the value of ∠5, we'll just substitute the value of x to the measure of ∠5.

  • ∠5 = 6x
  • ∠5 = 6(3)
  • ∠5 = 18

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[tex]\color{yellow}\underline\mathbb{ANSWER:}[/tex]

  • ∴, the value of x  is 3 while the value of ∠5 is 18.

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[tex]\color{aqua}\sf{JindySkite}[/tex]