Three angles of Pentagon are equal.if the other angles are 98° and 118° respectively, find the remaining angle?

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Answer 1 · 2018-03-04T18:07:38

each of the equal angles is #108^0#

we need first the sum of interior angles for a pentagon

this is given by the formula

#(n-2)xx180#

for a pentagon

#=(5-2)xx180=540^0#

for teh pentagon let teh equal angles be #x#

#3x+98+118=540#

#3x=540-98-118=324#

#x=324/3=108^0#

each of the equal angles is then #108^0#