Since the polygon is a pentagon, .
The sum of the measures of interior angles of a pentagon is .
(Sum of measures of interior angles)
(Substitute angle values)
(Combine like terms)
(Subtract 30 from each side)
(Divide each side by 5)
Use the value of x to determine each interior angle of the quadrilateral.
\,
,
,
, and
.
The interior agle measures are ,
,
,
, and
.