Brad1996 2 years ago What is the sum of the measures of the interior angles of a regular polygon where a single exterior angle measures 30°? Numerical Answers Expected! Answer for Blank 1:

1. ParthKohli

$180 - \rm exterior = interior$

2. ParthKohli

Did you figure out the interior angle?

150

4. ParthKohli

Right, now for figuring out the number of sides, use the fact that the sum of exterior angles is always $$360^{\circ}$$.

5. ParthKohli

Because one exterior angle is $$30^{\circ}$$, we can say that if there are $$n$$ exterior angles, then $$30n = 360$$.

6 so its a hexagon which has interior angles equal to 120

7. ParthKohli

Scroll up... you figured that the interior angle is $$150$$ which was correct!