Question

find the number of sides of a regular polygon when each of its interior angle is a measure of 135

Answer 1

Here is your solution

Given :-

The interior angle of a regular polygon is 135°

To find the number of sides of regular polygon :-

Each exterior angle => 180–135 = 45°

Number of side polygon =  360/45 = 8 sides

Hence

The number of sides of a regular polygon is 8

hope it helps you .

Answer 2

$<b>Heya mate. (^_-). Solution below.$
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★ Given - 

Each interior angle of a regular polygon = 135°




★ To find - 

Number of sides of the polygon.




★ Answer -


♦ Each interior angle = 135° (given)



♦ Then, each exterior angle,

= 180° - (each interior angle)

= 180° - 135°

= 45°.. (i)



♦ But, each exterior angle of any regular polygon = 360°/number of sides.. (ii)



♦ From (i) and (ii),

45° = 360°/number of sides

=> number of sides = 360°/45°

=> number of sides = 8




♥ •°• Number of sides of a regular polygon with each interior angle = 135° is 8.
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Thank you.. (^^)