Question

an exterior angle of a regular polygon is 45 degree what is the measure of an angle of the polygon what is the sum of the angle of the polygon​

Answer 1

Step-by-step explanation:

Sum of exterior angle of any polygon is

1080°

Explanation:-

Sum of exterior angles of any polygon is=

$360 °$

As each exterior angle is =

$45°$

Number of angles or sides of the polygon is =

$\frac{360°}{45°} = 8$

Further as each exterior angle is 45° ,Each interior angle is 180° - 45° = 135°

As there are 8 interior angles each 135°

The sum of the interior angles of the polygon is =

$135° \times 8 = 1080°$

@hitman

Answer 2

Answer:

The sum of the interior angles of the polygon is 1080°

Sum of exterior angle of any polygon is 360° .

As each exterior angle is 45°, number of angles

or sides of the polygon is 360°/45° = 8 .

Further as each exterior angle is 45°, each interior angle is 180° - 45° = 135° .

As there are 8 interior angles each 135° .

Step-by-step explanation:

#Hope you have satisfied with this answer.