Question

The regular polygon whose each exterior angle has a measure of 45 degrees, has __ sides.

• A. 8
• B. 7
• C. 6
• D. 9

Answer 1

Answer: (A)

We know that sum of the exterior angles of a regular polygon $=360$ degrees

But each exterior angle $=45$ degrees

$\therefore$ Number of sides of a regular polygon $=\frac{360}{45}$ $=8$

Hence, The regular polygon whose each exterior angle has a measure of 45 degrees, has $8$ sides.