Prove that one interior angle of a a regular octagon = 135 degrees

Regular octagon has 6 triangles within it.

Total of interior angles in a triangle = 180 degrees

So the total of interior angles within a regular octagon would = 180 x 6 (=1080).

All angles in a regular octagon are equal 1080/8 = 135

AK
Answered by Acrisa K. Maths tutor

11228 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Find x and y of these two equations: 2x - 3y = 13 and 3x + y = 3


Show that 12 cos 30° - 2 tan 60° can be written in the form√ k where k is an integer


Solve 5x - 7 = 3x + 2, to find the value of x


Rearrange the formula: m = 2ab/4c+b to make b the subject


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning