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.
it's a 5 sided polygon. 2 sides are 100 degrees, 1 side is 112 degrees, 89 degrees, and x.
1 Answer
Jun 21, 2018
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^@#