Question

The exterior angle of a regular polygon is x degrees and the interior angle is 8 x degrees

Answer 1

Answer:We know that exterior angles & interior angles are always make linear pair

Hence x+8x=180°

9x=180°

x=180÷9

x=20°

Sum of exterior angles of a regular polygon is always 360°

No of sides or angles =360°÷20

= 18

Step-by-step explanation:

Answer 2

Step-by-step explanation:

”, the interior angle is “8x” and their sum yields 180 degrees. Solving the equation:

x + 8x = 180 <=> 9x = 180 <=> x = 20.

Now that we know the amplitude of the exterior angle, we can make use of the fact that the sum of all the exterior angles in a polygon is equal to 360 degrees. So all that’s left is dividing 360 by the exterior angle’s amplitude to obtain the number of sides:

360/20 = 18