Mathematics
Three of the exterior angles of a hexagon are 40°, 51° and 86°. If each of the remaining exterior angles is x°, find the value of x.
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Answer
It is given that three of the exterior angles of a hexagon are 40°, 51° and 86°, and each of the remaining exterior angles is x°.
According to the properties of polygons, the sum of the exterior angles of any polygon is 360°.
Thus,
⇒ 40° + 51° + 86° + x° + x° + x° = 360°
⇒ 177° + 3x° = 360°
⇒ 3x° = 360° - 177°
⇒ 3x° = 183°
⇒ x° =
⇒ x° = 61°
Hence, the value of x is 61°.
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