Question

express the angular measurements of the angle of the regular. 1 octagon 2 heptagon 3 duodecagon
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Answer 1

Answer:

Angle measurement of a regular polygon having n sides is:-

$\frac{180(n - 2)}{n}$

Step-by-step explanation:

Regular octagon

It has 8 sides, means that n = 8.

Or,

Angle measurement =

$\frac{180(8 - 2)}{8} \\ = \frac{45(6)}{2} \\ = 45 \times 3 \\ = 135$

Regular Heptagon

It has 7 sides,

Means that angle measurement :-

$\frac{180(7 - 2)}{7} \\ = \frac{180 \times 5}{7} \\ = \frac{900}{7} \\ = 128.5 \: approx.$

Duodecagon

It has 20 sides, which means...

Angle measurement =

$\frac{180(20 - 2)}{20} \\ = 9 \times 18 \\ = 162$