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Q.

One interior angle of hexagon is 165 °  and each of the remaining interior angles is of x ° .  Find the measure of each of the remaining angles.


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a

111 °  

b

109 °  

c

107 °  

d

115 °    

answer is A.

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Detailed Solution

Given one interior angle of hexagon is 165 °  and each of the remaining interior angles is of x ° .  
We have to find the measure of each of the remaining angles.
Sum of the interior angles of a hexagon = 720 °  
Find the measure of each of remaining angle
Sum of the interior angles of a hexagon
165 ° +x+x+x+x+x= 720 ° ⇒ 165 ° +5x= 720 ° ⇒5x= 720 ° − 165 ° ⇒5x== 555 ° ⇒x= 555 5 ⇒x= 111 °  
The measure of each of remaining angle is 111 °  .
Therefore, the correct option is 1.
 
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