Question

What is the measure of one angle in a regular 24-gon

A) 165
B) 82.5
C) 195
D) 3960

Answer 1

The measure of the angle of a 24-gon is 3960. So, the angle one angle of a 24-gon would be A. 165.

Answer 2

`\text{Measure of 1 angle=}(3960)/(24)=165^(\circ)`

Explanation:

Given the there is 24-gon

we have to find the measure of one angle.

The sum of measure of interior angle are

(n-2)180, where n is no. of sides

∴ Sum of angles=(24-2)180=3960°

As there are 24 angles

`\text{Therefore, measure of 1 angle=}(3960)/(24)=165^(\circ)`

Hence, option A is correct.