Question

6. Find the number of sides of a regular polygon whose each exterior angle is

(b) half of its interior angle
7. What is the ratio of interior and exterior angles of a regular octagon?
please help in these two questions.​

Answer 1

Answer:

Since each interior angle is twice its adjacent exterior angle, therefore, substitute i=2e. We know that the measure of exterior angle is e=( where n is the number of sides. Hence, the number of sides is 6.

We know that the sum of the exterior angles of any polygon in existence is equal to 360°. We also know that the sum of an exterior angle +its interior angle=180°. Answer-3:1 is the ratio of an angle of a regular octagon to its exterior angle.

Answer 2

Answer:

6) Since each interior angle is twice its adjacent exterior angle, therefore, substitute i=2e. We know that the measure of exterior angle is e=( where n is the number of sides. Hence, the number of sides is 6.

7)We know that the sum of the exterior angles of any polygon in existence is equal to 360°. We also know that the sum of an exterior angle +its interior angle=180°. Answer-3:1 is the ratio of an angle of a regular octagon to its exterior angle.

ans= 3:1

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