What is the degree measure of one of the interior angles of a regular octagon?15 Mark For ReviewA) 115°B) 120°C) 130°D) 135°
Question
What is the degree measure of one of the interior angles of a regular octagon?
15 Mark For Review
A) 115°
B) 120°
C) 130°
D) 135°
Solution
To find the degree measure of one of the interior angles of a regular octagon, you can use the formula for the measure of an interior angle of a regular polygon, which is (n-2) * 180 / n, where n is the number of sides.
Step 1: Identify the number of sides. An octagon has 8 sides.
Step 2: Substitute the number of sides into the formula. So, (8-2) * 180 / 8 = 6 * 180 / 8 = 1080 / 8 = 135°
So, the degree measure of one of the interior angles of a regular octagon is 135°. Therefore, the answer is D) 135°.
Similar Questions
What is the measure of each interior angle in a regular hexagon?A) 60 degreesB) 90 degreesC) 120 degreesD) 150 degrees
ach exterior angle of a regular polygon measures 15°. How many sides does the polygon have?A.15B.8C.24D.10
The measure of an interior angle of a regular polygon is 156°. Find the number of sides in the polygon.
How many sides does a polygon have if each of its interior angles measures 156°?
What is the measure of an exterior angle in a regular polygon with 13 sides?Write your answer as an integer or as a decimal rounded to the nearest tenth.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.