Answer:
Step-by-step explanation:
The formula for finding the sum of the measure of the interior angles in a regular polygon is expressed as (n - 2) × 180. Therefore,
(n - 2) × 180 = 9000
180n - 360 = 9000
180n = 9000 + 360 = 9360
n = 9360/180
n = 52
The regular polygon has 52 sides
7) The sum of the angles in the quadrilateral is 360°. Let x represent the missing angle. Therefore,
64 + 116 + 120 + x = 360
300 + x = 360
x = 360 - 300
x = 60°
8a) let x represent the missing side. Therefore,
24/15 = x/10
Cross multiplying,
15x = 240
x = 240/15 = 16
8b) let x represent the missing side. Therefore,
6/12 = 5/x
6x = 60
x = 60/6 = 10
