Find the length of each side of the polygon for the given perimeter. p=48 cm

length of each sides = 6 cm

Step-by-step explanation:

The above diagram is an octagon. An octagon has 8 sides . A perimeter is the sides or boundary that surround a shape. Since the octagon has 8 sides the perimeter can be gotten by adding  the lengths of the sides .

The perimeter of the octagon is given as 48 cm. since the octagon has 8 sides to get the length of each sides one have to divide the perimeter by the number of sides.

Mathematically,

length of each sides = perimeter/number of sides

perimeter = 48 cm

number of sides = 8

length of each sides = perimeter/number of sides

length of each sides = 48/8

length of each sides = 6 cm

step-by-step explan mxfcg'k; uafwgzfgjhklhgation:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.