Question

the inner angle of a regular polygon is 20 more than thrice of it outer angle . a) if the outer angle is x , what will be the inner angle ? b) what is the sum of inner and outer angle at a vertex c) Form an equation with this idea? d) find outer angle ? plzz guys ​

Answer 1

Given,

Exterior angle of a regular polygon = 20°

Therefore, no. of sides =$\LARGE\sf{\frac{ 360°}{ exterior~ angle}}$

=$\LARGE\sf{\cancel\frac{ 360°}{20°}}$ = 18 sides.

Interior angle = 180° - exterior angle = 180° - 20° = 160°

Sum of interior angles for a n- sided polygon

= (n - 2) 180°

= (18 - 2) 180°

= 16 × 180°

= 2880°

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