Question

find the measure of each interior angle of:
( i ) quadrilateral
( ii ) hexagon
( iii ) octagon
( iv ) polygon of 18 sides

help me please I'm confused​

Answer 1

Answer:

the measure of each interior angle of hexagon

Answer 2

Step-by-step explanation:

Sum of interior angle of a regular polygon is (n−2)π

so in (i) number of sides of pentagon are 5 thus n=5⇒(5−2)π⇒3π

Sum of all interior angles is 3π thus measure of each one is

5

3π

(ii) Hexagon n=6⇒(6−2)π=4π

Sum of all interior angles is 4π thus measure of each one is

5

4π

(iii) Octagon n=8⇒(8−2)π=6π

Sum of all interior angles is 6π thus measure of each one is

5

6π