what is the ratio of the number of degrees in the interior angle of a regular pentagon to the number of degrees in the interior angle of a regular hexagon? express your answer as a common fraction.

Answer: Answer is 3/4

Step-by-step explanation: The sum of the interior angles of a regular polygon is calculated as follows;

(n-2) * 180° {where n represents the number of sides of the polygon}

A pentagon is a polygon with five equal sides. Therefore the sum of it's interior angles is calculated as;

(5-2) * 180°

=3*180°

=540°

A hexagon is a polygon with six equal sides. Therefore the sum of it's interior angles is calculated as;

(6-2) * 180°

=4*180°

=720°

Therefore, the ratio of the number of degrees in the interior angles of a regular pentagon, to the number of degrees in the interior angles of a regular hexagon is given as

540:720

If you divide both sides by their prime factors (2*2*3*3*5) the ratio becomes

3:4 in it's simplest form.

As a common fraction, it can be expressed as

3/4.