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Sagot :
Answer:
Step-by-step explanation:
Sum of exterior angles of any polygon =360°
Sum of exterior angles of polygon = 360°
m + 5 + 2m + 3 + 3m + 2 + 4m + 1 + 5m + 4 = 360
m + 2m + 3m + 4m + 5m + 5 + 3 + 2 + 1 + 4 = 360 {Combine like terms}
15m + 15 = 360 {Subtract 15 from both sides}
15m = 360 - 15
15m = 345 {Divide both sides by 15}
m = 345/15
m = 23
m + 5 = 23 + 5 = 28°
2m + 3 = 2*23 + 3 = 46 + 3 = 49°
3m + 2 = 3*23 + 2 = 69 + 2 = 71°
4m + 1 = 4*23 + 1 = 92 + 1 = 93°
5m + 4 = 5*23 + 4 = 115 + 4 = 119°
Answer:
see explanation
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
Sum the angles and equate to 360
m + 5 + 2m + 3 + 3m + 2 + 4m + 1 + 5m + 4 = 360, that is
15m + 15 = 360 ( subtract 15 from both sides )
15m = 345 ( divide both sides by 15 )
m = 23
Then
m + 5 = 23 + 5 = 28°
2m + 3 = 2(23) + 3 = 46 + 3 = 49°
3m + 2 = 3(23) + 2 = 69 + 2 = 71°
4m + 1 = 4(23) + 1 = 92 + 1 = 93°
5m + 4 = 5(23) + 4 = 115 + 4 = 119°
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