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Q.

A concave polygon is such that each of its internal angles measure either 60°  or 300° . If this polygon contains twenty 300° angles, then the number of 60° angles in it is

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a

23

b

24

c

18

d

26

answer is C.

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Detailed Solution

(n−2)180°=20×300°+(n−20)60°

180n−360=6000+60n−1200

120n=6360−1200

120n=5160

n=51612=43

∴  Number of60°  angles =(n−20)=43−20=23

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