Question

the radius measure of the interior angle of A regular heptagon is​

Answer 1

Answer:

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

so in (i) Pentagon n=5⇒(5−2)π⇒3π

for each

5

3π

(ii) Hexagon n=6⇒(6−2)π=4π

for each

6

4π

=

3

2π

(iii) Octagon n=8⇒(8−2)π=6π

for each

8

6π

=

4

3π

Answer 2

Step-by-step explanation:

each interior angle of regular polygon=

$= \frac{(n - 2) \times \pi}{n}$

heptagon has 7 sides

so n= 7

$each \: interior \: angle \: of \: heptgon \:$

$= \frac{(7 - 2) \times \pi}{7}$

$= \frac{5\pi}{7}$