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
