Mhanifa can you please help?

Sum of angles of a regular polygon is 360°

If one angle is 8°, then number of sides is:

Sum of interior angles of a polygon with n sides:

Exterior angle measure is:

Sum of exterior angles is 360°

Each exterior angle is:

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4