Question

please solve this...​

Answer 1

Step-by-step explanation:

Given figure is regular polygon with 6 sides.

It is a hexagon.

We know that

The sum of all interior angles of a polygon with "n" sides =(n-2)×180°

=>(6-2)×180°

=>4×180°

=>720°

The sum of all interior angles =720°

Each interior angle of a polygon=(n-2)×180°/n

=>720°/6

=>120°

Each interior angle (a)=120°

We know that

The Sum of an exterior angle and an interior angle=180°

=>x+a=180°

=>x+120°=180°

=>x=180°-120°

=>x=60°

a)x=60°

y=60°

z=60°

p=60°

q=60°

r=60°

a=120°

b)Each interior angle is equal and each exterior angle is equal because it is regular polygon with all sides and all angles are equal.

c)i)Exterior angle=60°

ii) Interior angle=120°