If you know the exterior angle, how do you find the number of sides and an interior angle?

Question

I need help in my geometry homework and I can't figure out it PLEASE HELP!!

Answer 1

Let x be the exterior angle. Then
360/x is the number of sides.
180-x is the measure of interior angle.

Answer 2

Sahsjing is correct if and only if you are talking about a regular polygon that has all equal sides and all equal angles.

Otherwise his formulas will not work, and you would not be able to tell the number of sides unless you knew how many exterior angles the polygon had. An interior angle is always equal to 180 - its associated exterior angle.

Answer 3

Hrm, I'm going to assume we're talking about a regular n-gon, and by exterior angle you mean the whole exterior angle with no perpendiculars drawn in or anything.

The exterior angle = 360 - (internal angle), so you can find that easily enough. There's a formula to get you from the interior angle of a regular n-gon to the number of sides. It's something like side(side+2)/180=interior angle, but I bet you could confirm that in your textbook or where ever.

Answer 4

The exterior angle of what? Of almost everything you minus the exterior angle by 180 degrees to get the interior angle. But one angle usually isn't good enough to find all information.

Answer 5

set up an equation let n be the exterior angle then
360/n is the number of sides
180-n is the measure of interior angle

Answer 6

180 is the measure of all the interior angles of a triangle
^-90
/ \
/60_30\_add the two far angles(90+60) that give you the measurement of the exterior angle(next to the 30)and the answer to that is 150.you can do that with any two angles

Answer 7

IT'S THE SAME AS THE ANGLE OPPOSITE IT. SO BASICALLY YOU DOUBLE THE NUMBER. THEN YOU SUBTRACT IT FROM 360. YOU TAKE THE ANSWER YOU GET AND DIVIDE IT BY TWO. I'M IN GEOMETRY TOO!

Answer 8

sss theory....