Question

The measure of one angle of an octagon is twice the measure of one of the other seven congruent angles. What is the measure of each angle?

Answer 1

Each one of the smaller angles  x = 120 degrees and the larger angle = 2x = 2 × 120 = 240 degrees

How to find the angle of octagon?

The angle of an octagon can be found as follows;

An octagon is a polygon that has 8 sides.

The sum of angles in an octagon is 1080 degrees.

Therefore,

x + x + x + x + x + x + x + 2x = 1080

Hence,

9x = 1080

divide both sides by 9

x = 1080 / 9

x = 120

Therefore, each one of the smaller angles  x = 120 degrees and the larger angle = 2x = 2 × 120 = 240 degrees

learn more on octagon here:brainly.com/question/8517157

#SPJ1