Question

9 Siues
(11)
13 Slues
3. How many sides does a regular polygon have if there measure of an exterior angle is 24°?
4. How many sides does a regular polygon have if each of its interior angles
is 165°?​

Answer 1

Answer:

Sum of exterior angle of polygon=360

Each exterior angle of polygon =24

Number of sides of polygon=\frac{360}{24}24360=15

=> Number of sides of polygon with each angle of 24 is 15.

The measure of exterior angle = 180° – 165° = 15°

(no. of sides) x (measure of exterior angle) = 360°

⇒ no. of sides = 360°/15° = 24

Answer

Thus, the regular polygon has 24 sides.

Step-by-step explanation:

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