geometry question???

Question

I don't quite understand this, so please help me understand it , so i can solve it

This are interior angles:
m
Determine what the exterior angles sum to.

Answer 1

We need not do any calculation to find out the measure of iterior angles because come whatever,the sum of exterior angles of a polygon is always 360 degrees

Answer 2

The first answer is correct.

If you need to demonstrate why this is true
for the given triangle
........../_\ ABC
then extend each side
so it looks like a pinwheel
............/
.........../..y
_ _x_/_\
............z.\
................\
[ignore the dots, for typesetting only]

x y z are your exterior angles
where m and m and m (each are linear pairs, which are supplementary
angles, whose measures add up to 180 degrees)

Then you can add these three statements together as:
m Since
m you can subtract this from both sides and leave just:
m So the sum of the 3 exterior angles = 360

Answer 3

10

Answer 4

This is a triangle, but it wouldn't matter even if it had more sides. For any convex polynomial, the sum of the exterior angles is 360º.

Answer 5

For any regular polygon (be it a triangle, quadrilateral, or a polygon with any number of sides), all external angles add up to 360.