Find the number of sides in the polygon with whose angles measures have the given sum. 540° a. 4 c. 7 b. 5 d. 9

Question

Find the number of sides in the polygon with whose angles measures have the given sum.   540° a. 4 c. 7 b. 5 d. 9

mathmath333 · Answer

option A

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the sum of all angles of quadrilateral is 360 so A is not the correct option

mathmath333 · Answer

option B|dw:1414009094656:dw|

if there are 7 sides then 

it consists of 2 quadrilaterals and one triangle

=2*360+180
=720+180
=900

so B is not the correct opton

mathmath333 · Answer

option C

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if there are 5 sides 
it consists of 1 quadrilateral and 1 triangle

=360+180
=540

$\Large\tt \begin{align} \color{black}{\text{So C is the correct option here}}\end{align}$