Question

8. Answer the following questions :
( 1 ) How many sides does a regular
polygon have if each of its interior
angles is 140°?​

Answer 1

Answer:

Sum of the angles of a polygon is (n-2)×180

Each angle is (n-2)×180/n

140 = (n-2)×180/n

140n = 180n - 360

-40n = -360

n = 9

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Answer 2

Answer:

Number of sides of the polygon

$= \frac{360}{15} = 24 \: sides$