Question

Find the sum of the angle measures in a regular polygon.

A) 720*

B) 900*

C) 1080*

D) 1260*

Please help!! Thanks

Answer 1

1260°

hope this helps ^-^

Answer 2

D) 1260°

Explanation:

In an n-sided polygon, the sum of all angles is equal to (n-2)*180°.

Look at it this way - let's add a point in the middle and connect it to each vertex. Then we've got n triangles for a total of n*180°, but all of the angles at the middle point aren't "part" of the polygon, so a full 360° angle should be subtracted, giving us n*180°-360° = (n-2)*180°

You can easily confirm that it works for triangles and quadrangles ;)

The figure in the picture has 9 sides, so the sum of angles is (9-2)*180° = 7*180° = 1260°