What is the measure of each interior angle of a regular octagon ?
2 answers:
Answer: 135°
Step-by-step explanation: In this problem, we're asked to find the measure of each interior angle of a regular octagon.
So let's use our formula for finding the measure of
each interior angle of a regular octagon which is .
In this formula, <em>n</em> represents the
number of sides of the polygon.
Remember that an octagon is a polygon that has 8 sides
so we plug a 8 in for <em>n</em> and we have .
Simplifying across the top, (8 - 2) is 6so we have .
180(6) is 1,080 so we have and
1,080 divided by 8 gives us 135.
So the measure of each interior angle of a regular octagon is 135°.
I have also attached my work below.
You might be interested in
Answer:
A graph showing a range of negative three to two on the x and y axes. A dotted line with arrows at both ends that passes through the x axis at two and runs parallel to the y axis. The graph is shaded to the left of the line.
Step-by-step explanation:
The inequality given is x < 2. This means x is less than two are the values that satisfy the equation.
The equation can be written as x=2 to identify the position where the line will pass. The line is dotted and will pass through x=2 to be parallel with the y-axis.
The second and third answers are not correct because the line should not be solid.
The first answer is not correct because the shaded part should be to the left of the line.
