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.