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3 years ago

The octagon in the figure is equiangular and AB=AC Find m∠ACB .

Mathematics

1 answer:

Triss [41]3 years ago

7 0

∠ACB = ∠ABC = 360°/8 = 45°

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∠ABC is an external angle of the octagon. Since it is equiangular, all external angles are equal. The sum of external angles of a convex polygon is always 360°, so one of 8 of those angles will be 360°/8 = 45°.

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Step-by-step explanation:

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2 years ago

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Answer:

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Step-by-step explanation:

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$\therefore (3x-16)\degree+(x+6)\degree+ x\degree = 180\degree\\\therefore (5x-10)\degree = 180\degree\\5x-10 = 180\\5x = 180 + 10\\5x = 190\\x= \frac{190}{5}\\x= 38\\\because m\angle M = (3x-16)\degree\\\therefore m\angle M = (3\times 38 -16)\degree\\\therefore m\angle M = (3\times 38 -16)\degree\\\therefore m\angle M = (114 -16)\degree\\\therefore m\angle M = 98\degree$

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