Question

Help please asap!! A- z=15 B- z= 20 C- z=23 D- z=41

Answer 1

Answer:

z = 15

Step-by-step explanation:

The sum S of the interior angles of a regular polygon is given by the formula

S = (n-2) x 180 where n is the number sides

Here n = 9

So S = (9-2) x 180 = 7 x 180 = 1,260

There are 9 interior angles and each angle is (5z + 65)

So the sum of all 9 interior angles = 9 (5z + 65)

= 45z + 585

Set these equal to each other and solve for z

45z + 585 = 1260

45z = 675

z = 675/45 = 15