Question

an octagon has three equal angles each of measure 115 degree. If all the remaining angles have equal measure, find the measure of each of these remaining angles. hint answer= 147 degree

Answer 1

let the measure of other angles be x,x,x,x,x,x,x
x+x+x+x+x+x+115=1080
7x=1080-115
7x=965
x=965/7
x=147

Answer 2

All the remaining angles have equal measure is "147°".

Step-by-step explanation:

Given,

An octagon has three equal angles each of measure = 115°

Let all the remaining angles have equal measure = x

To find, the measure of each of these remaining angles = ?

We know that,

An octagon has 8 angles and sum of all angles = 1080°

∴ 3 ×  115° + 5x = 1080°

⇒ 345° + 5x = 1080°

⇒ 5x = 1080° - 345° = 735°

⇒ $x=\dfrac{735}{5}$ = 147°

Hence, all the remaining angles have equal measure is  147°.