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Scilla [17]
3 years ago
5

Why must angle A be 135°

Mathematics
1 answer:
Troyanec [42]3 years ago
4 0

Answer:

Because a is the measure of the interior angle of a regular octagon.

Step-by-step explanation:

Given figure is of a regular octagon.

Measure of one interior angle of regular octagon is given as:

a =  \frac{(n - 2) \times 180 \degree}{n}   \\  \\  =  \frac{(8 - 2) \times 180 \degree}{8}  \\  \\  =  \frac{6 \times180 \degree }{8}  \\  \\  =  \frac{1080 \degree}{8}  \\  \\   \huge \red{ \boxed{a= 135 \degree}}

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