Each interior angle of a regular polygon of 18 sides , is

$144 °$

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$160 °$

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$60 °$

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$120 °$

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Solution

The correct option is B
$160 °$

Step 1
As we know that the sum of measures of interior angles of a polygon having $n$ sides is $= (n - 2) \times 180 d e g r e e s$
The number of sides $= 18$
So, the sum of measures of interior angles of decagon is $= (18 - 2) \times 180 ° = 2880 °$
Step 2
Thus, $T h e m e a s u r e o f e a c h i n t e r i o r a n g l e = s u m o f m e a s u r e s o f i n t e r i o r a n g l e s \div t o t a l n u m b e r o f s i d e s$
Now $= \frac{2880}{18} = 160 °$
Hence, the measure of each interior angle is $160 °$ .

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