Question

Determine the value of x in this polygon.

Answer 1

Answer:

x = 23.5

Step-by-step explanation:

It's the trapezoid.

We know: the sum of the angle measures at one leg of a trapezoid is 180°.

Therefore we have the equation:

$(x+12.5)+(6x+3)=180$    combine like terms

$(x+6x)+(12.5+3)=180$

$7x+15.5=180$         subtract 15.5 from both sides

$7x=164.5$   divide both sides by 7

$x=23.5$