kaykay421 kaykay421

24-03-2020
Mathematics

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A pentagon has angle measures of 12x°, 7x°, 16x°, 9xº, and 10x°. Find the
value of x.

A pentagon has angle measures of 12x 7x 16x 9xº and 10x Find the value of x class=

Respuesta :

noelleista noelleista

24-03-2020

Answer:

10

Step-by-step explanation:

The sum of all the interior angles of a pentagon is 540°

So...

540 = 12x + 7x + 16x+ 9x + 10x

Combine like terms:

540 = 12x + 7x + 16x+ 9x + 10x

540 = 54x

Divide by 54 on both sides:

540 = 54x

/54 /54

10 = x

Hope this helps :)

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