Question

Can someone plz help me with q10 ?

Answer 1

the 1st part of the question... 
see if the polygon has 165* as interior angle then the exterior angle will be 15 degrees..so now... There's an axiom which states that when you divide 360 by the measure of exterior angle which in our case is 15* you get the number of sides... So when you divide 360 by 15 you get 24... So the number of sides are 24! 
Thanks! 

2nd Part of the question...
now you know that the polygon has 12 sides.. you divide 360 by 12 which comes to 30... now this 30 is the measure of the exterior angle... and from this we find out that measure of interior angle is 150 degrees... so that angle ABP  measures 150 degrees...
Now you have to add 150 and 165 and subtract from 360... which comes to 45 degrees... you have 'x' as 45 degrees 
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