## Brad1996 Group Title 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: one year ago one year ago

1. ParthKohli Group Title

$180 - \rm exterior = interior$

2. ParthKohli Group Title

Did you figure out the interior angle?

150

4. ParthKohli Group Title

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

5. ParthKohli Group Title

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 Group Title

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