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Sloan [31]
3 years ago
13

Find the value of x in each quadrilateral.

Mathematics
1 answer:
frozen [14]3 years ago
8 0

bearing in mind that the sum of all interior angles in a polygon is

<h3>180( n - 2 ),  n = number of sides in the polygon.</h3>

well, this one is a quadrilateral, it has 4 sides, so n = 4, so the total amount for all interior angles will be 180( 4-2) = 360°, that means

\bf 57+97+131+(15+4x) = 360\implies 300+4x=360 \\\\\\ 4x = 60\implies x = \cfrac{60}{4}\implies x = 15

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