Since the polygon is a quadrilateral is, .The sum of the measures of interior angles of a quadrilateralis
.
(Sum of measures of interior angles)
(Substitute the corresponding angle measures)
(Combine like terms)
(Add 8 to each side)
(Divide each side by 8)
Use the value of x to determine each interior angle of the quadrilateral.
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,
,
and .
The interior angle of the quadrilateral are
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,
,
and .