Question

Find the value of x. to 89° 118° 104° x°​

Answer 1

x = 49

Explanation:

We can find the sum of the interior angles of a polygon using the formula

`S_(n)=(n-2)*180`, where n is the number of sides the polygon has.

Because the figure in the picture is a trapezoid and has four sides, we can find the sum of all the interior angles in the polygon by substituting 4 for n:

`S_(4)=(4-2)*180\\ S_(4)=2*180\\S_(4)=360`

Since we know that the sum of all the angles in the trapezoid is 360, we can find x by subtracting the sum of the angles already given from 360:

`x+118+104+89=360\\x+311=360\\x=49`