manassehmutandwa60 manassehmutandwa60

11-06-2022
Mathematics

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Find the size of the final unknown exterior angle in a polygon whose other exterior angles are: 51°, 75°, 38°, 47°, 65° and 52

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jimrgrant1 jimrgrant1

11-06-2022

Answer:

32°

Step-by-step explanation:

the sum of the exterior angles of a polygon = 360°

let x be the unknown angle , then summing

x + 51° + 75° + 38° + 47° + 65° + 52° = 360° , that is

x + 328° = 360° ( subtract 328° from both sides )

x = 32°

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