What is x?

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1 Answer
CW
Nov 5, 2016

#x=109^@#

Explanation:

A pentagon can be divided into 3 triangles.
Each of the triangles has #180^@#.
So three of them will have #3*180=540^@#

#=> x+121+108+102+100=540#
#=> x+431 =540#
#=> x=109^@#

Alternatively, you can find the sum of the interior angles of a polygon using the following formula :
sum of interior angles of a poygon #=(n-2)*180#, where #n =# number of sides.
Since a pentagon has 5 sides #=> n=5#
sum of interior angles #= (5-2)*180=540^@#

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