152k views
3 votes
What is the angle of rotation of this regular octagon? what is the measure of an interior angle?

2 Answers

5 votes

Final answer:

The angle of rotation of a regular octagon is 45°, and the measure of an interior angle of a regular octagon is 135°.

Step-by-step explanation:

The angle of rotation for a regular octagon can be found by dividing the full circle of 360 degrees by the number of sides, which is 8 for an octagon. Therefore, the angle of rotation is 360° / 8 = 45°.

The measure of an interior angle of a regular octagon is determined by the formula (n-2) × 180° / n, where 'n' is the number of sides. Substituting 8 for 'n', the measure of an interior angle is (8-2) × 180° / 8 = 6 × 180° / 8 = 135°.

User Rdurand
by
6.7k points
4 votes
second question:
sum of all the interior angle 180*(8-2)=1080 degree
sum of one interior angle 1080/8=135 degree
User Thelsdj
by
6.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.