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somebody please help i literally can’t solve this and it’s been an hour:( giving big brainlest!

Somebody Please Help I Literally Cant Solve This And Its Been An Hour Giving Big Brainlest class=

Sagot :

Answer:

A

Step-by-step explanation:

We know that

Sum of all angles in a triangle is 180⁰

=> 2x + x + 84 + 3x = 180

=> 6x + 84 = 180

=> 6x = 180 - 84

=> 6x = 96

=> x = 96/6

=> x = 16

Option A

To solve for this problem we must know the unique property of triangle which is their sum of angles tends to 180°.

We've been given three angles in figure which are 2x, x + 84 and 3x. Now let's tend their sum to 180°.

[tex]:\implies\rm{2x + x + 84 + 3x = 180}[/tex]

[tex]:\implies\rm{2x + x + 3x + 84 = 180}[/tex]

[tex]:\implies\rm{3x + 3x + 84 = 180}[/tex]

[tex]:\implies\rm{6x + 84 = 180}[/tex]

[tex]:\implies\rm{6x = 180 - 84}[/tex]

[tex]:\implies\rm{6x = 96}[/tex]

[tex]:\implies\rm{x = \frac{96}{6} }[/tex]

[tex]:\implies\rm{x = 16}[/tex]

  • Thus the correct option is 16 which is option A).
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