Question

Work out the angle of x please answer ASAP!!

Answer 1

Given:

The figure of a pentagon.

To find:

The value of the x.

Solution:

We know that, the sum of all interior angles of a pentagon is 540 degrees. So,

$(5x-25)+(6x+25)+(6x-3)+(9x)+(7x+15)=540$

$(5x+6x+6x+9x+7x)+(-25+25-3+15)=540$

$33x+12=540$

Subtract both sides by 12.

$33x+12-12=540-12$

$33x=528$

Divide both sides by 33.

$x=\dfrac{528}{33}$

$x=16$

Therefore, the value of the x is 16.