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liq [111]
3 years ago
8

The chagram shows a regular octagon joined to an equilateral triangle

Mathematics
2 answers:
Deffense [45]3 years ago
4 0

Answer:

165°

Step-by-step explanation:

marysya [2.9K]3 years ago
3 0

Answer:

x = 165°

Step-by-step explanation:

x° = 360 - (the measure of one interior angle of the octagon + the measure of one interior angle of the equilateral ∆)

Each interior angle of a regular octagon = 135° ([tex] \frac{(n - 2)180}{n} = 135°)

An equilateral ∆ has equal angles, each measuring 60°.

Therefore:

x° = 360° - (135° + 60°)

x = 360 - 195

x = 165°

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