Question

angles find the number of sides in a regular polygon if its each exterior angle is.two-fifths of a right angle​

Answer 1

Polygon whose each exterior angle is two-fifth of a right angle =   5 2  ×90*=36  

Sum of all exterior angle of any polygon is 360*

36* ×number of angles =360  

number of angles=10

Any polygon have equal number of angles and sides.

Therefore, number of side of polygon is 10

Answer 2

Answer:

The no. of sides would be 5 which means it is a pentagon.

Step-by-step explanation:

Exterior angle = 2/5 of Right angle

= 2/5 × 90

= 36°

∴ The value of interior angle = 180° - exterior angle

= 180 - 36

= 144°

∴ Interior angle = 144°

Now, we need the nearest angle which is the sum of interior angle and its ones place is 0

∴ 144 × 5 = 720

this means that number of angles are 5 and also the sides are five.

Thus, it is a Pentagon.

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