What is the value of x using the interior of the polyogns?

it's a 5 sided polygon. 2 sides are 100 degrees, 1 side is 112 degrees, 89 degrees, and x.

1 Answer
Jim G.
Jun 21, 2018

#x=139^@#

Explanation:

#"the sum of the interior angles in a polygon is"#

#•color(white)(x)"sum "=180^@(n-2)#

#"where n is the number of sides"#

#"here "n=5#

#"sum "=180^@xx3=540^@#

#"form an equation and solve for "x#

#100+100+112+89+x=540#

#401+x=540#

#x=540-401=139#

#"the fifth interior angle "=139^@#

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