Answer:
Internal angle =
Number of sides = 18
Step-by-step explanation:
Given that:
We have a regular polygon with number of sides unknown.
Measure of an exterior angle of the polygon =
To find:
Measure of an interior angle and the number of sides of the polygon?
Solution:
Let us have a look at the relation of sum of external angles.
Sum of one internal angle and its corresponding external angle =
Internal angle + external angle =
Internal angle = -
=
Sum of all the external of a regular polygon =
All the external angles will be equal because it is a regular polygon.
Let the number of sides =
Therefore,
Therefore, the answers are:
Internal angle =
Number of sides = 18