Question

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

Answer 1

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.

1080

9

=

120

, so x =

120

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

Khadijah21

Answer 2

hello Dm me Yash Purohit

Step-by-step explanation:

Octagon= 1080°

then one angle = 135°

and if It's double then it will be 270°

then 7 angles = 135° each

and One Angle = 270°

hope it helps