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

##### 1 Answer

May 5, 2018

One angle is 240 degrees while the other seven angles are 120 degrees. Here's why:

#### Explanation:

Sum of interior angles of an octagon: 1080

7 angles with measure "x"

1 angle that's twice "x", 2x

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

Combine like terms.

9x = 1080

Divide by 9 to isolate for x.

Angle 1: 2(120) = 240

Angle 2: 120

Angle 3: 120

Angle 4: 120

Angle 5: 120

Angle 6: 120

Angle 7: 120

Angle 8: 120