Question

The exterior angle of a regular polygon is
2x + 6º and the interior angle is 10x - 6º. How
many sides does the polygon have? What is
the measure of each interior angle?​

Answer 1

Answer:

10 sides, 144

Step-by-step explanation:

Exterior angle + Interior angle= 180

2x + 6 + 10x - 6 = 180 = 12x

x = 15

and the exterior angle is 36.

Number of sides = 360/Exterior angle

= 360/36 = 10

Measure of interior angle is 144.

Answer 2

Answer:

10 sides, 144

Step-by-step explanation:

Exterior angle + Interior angle= 180

2x + 6 + 10x - 6 = 180 = 12x

x = 15

and the exterior angle is 36.

Number of sides = 360/Exterior angle

= 360/36 = 10

Measure of interior angle is 144.