Question

Two of the exterior angles of an n-sided polygon arc 35° and 72°, and the remaining exterior angles arc 23° each. Find the value of n.

HELP PLEASE

Answer 1

Answer:

The sum of exterior angles is 360 degs

360 - (72+35) = 253 degs

253/23 = 11 angles of 23 degs

11 + 2 = 13 sides

n = 13

Answer 2

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Two of the exterior angles of an n-sided polygon arc 35° and 72°, and the remaining exterior angles arc 23° each. Find the value of n

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$\ \color{plum}{ ꑄum}$$\ \color{plum}{ of}$$\ \color{plum}{ exterior }$$\ \color{plum}{ angles}$$\ \color{plum}{ are}$$\ \color{plum}{ 360°}$

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$\ \color{plum}{ 35°}$$\ \color{plum}{ +}$$\ \color{plum}{ 72°}$$\ \color{plum}{ +}$$\ \color{plum}{ n°}$$\ \color{plum}{ =}$$\ \color{plum}{ 360°}$