Question

The measure of each angle of a regular octagon is _____ the measure of each exterior angle of a regular hexagon.

Answer 1

Answer: The answer is (A). greater than.

Step-by-step explanation:  We are to compare the measure of each angle of a regular octagon with the  measure of each exterior angle of a regular hexagon.

We know that each interior angle of a regular octagon is

o = 135°.

And the measure of each exterior angle of a regular hexagon is given by

$h=\dfrac{360^\circ}{6}=60^\circ.$

Since 135° > 60°, so the complete statement is

The measure of each angle of a regular octagon is greater than the measure of each exterior angle of a regular hexagon.

Thus, (A) is the correct option.

Answer 2

The answer is "A. greater than" because if the number of edges increase, the measure of each exterior angle increases too!

Hope this helps. :)