Regular polygons have congruent sides and congruent angles. the regular octagon has a perimeter represented by the expression shown. a regular octagon is shown. the perimeter is equal to forty-eight y minus 40. write an expression to represent the length of one side of the octagon.

a = 6y - 5

Step-by-step explanation:

The sides and the angles of a regular polygon are congruent.

The perimeter of a regular octagon is given by (48y - 40).

Let each side of the regular octagon is a, then its perimeter will be equal to 8a.

Hence, 8a = (48y - 40)

⇒ a = 6y - 5.

So, this is the expression to represent the length of one side of the octagon. (Answer)

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°