Question

An octagon has three equal angles each measure 115.If all the remaining angles have equal measures find the measure of each of these remaining angle.​

Answer 1

Answer:

Step-by-step explanation:

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°

⇒  = 147°

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