Question

QUESTION 1:-
HOW MANY sides does a regular pylogon have, if the measure of an exterior angle is 24°?


QUESTION 2:-
HOW MANY SIDES does a regular pylogon have if each of its interior angle is 165°?

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Answer 1

Answer:

Q1= 15

Q2=24

Hope it helps unnie!!!

Answer 2

Question

How many sides does a regular pylogon have, if the measure of an exterior angle is 24° ?

Solution

Let number of sides be x.

Sum of exterior angles of a regular pylogon = 360°

Number sides = $\sf{ \dfrac{Sum \ of \ exterior \ angles}{Each \ interior \ angles}}$ = $\sf{ \dfrac{360°}{24°}}$ = 15

Hence,the regular polygon has 15 sides.

Question

HOW many sides does a regular pylogon have if each of its interior angle is 165°?

Solution

Let number of sides be n.

Exterior angles = 180° - 165° = 15°

Sum of exterior angles of a regular polygon = 360°

Number of sides = $\sf{ \dfrac{Sum \ of \ exterior \ angles}{Each \ interior \ angles}}$ = $\sf{ \dfrac{360°}{15°}}$ = 24

Hence,the regular polygon has 24 sides.

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