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s2008m [1.1K]
4 years ago
5

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

Mathematics
2 answers:
Ymorist [56]4 years ago
7 0

Answer:

\text{Measure of 1 angle=}\frac{3960}{24}=165^{\circ}

Step-by-step 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=}\frac{3960}{24}=165^{\circ}

Hence, option A is correct.

HACTEHA [7]4 years ago
4 0
The measure of the angle of a 24-gon is 3960. So, the angle one angle of a 24-gon would be A. 165.
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