Three exterior angles of a hexagon are 40- 51- and 86- If each of the remaining exterior angles is X - then x -A- 36-B- 54-C- 18-D- 44-

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Sum of Exterior Angles in a Polygon

Three exterio...

Question

Three exterior angles of a hexagon are $40^{\circ}, 51^{\circ}$ and $86^{\circ}$ . If each of the remaining exterior angles is $x^{\circ}$ , then x=___

36°

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54°

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18°

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44°

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Solution

The correct option is B
54°

A hexagon has 6 exterior angles. The sum of exterior angles $= 360^{\circ}$

$40 + 51 + 86 + 3 x^{\circ} = 360$

$177 + 3 x = 360^{\circ}$

$3 x = 183^{\circ}$

$x = 61^{\circ}$

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Three exterior angles of a hexagon are 40∘,51∘ and 86∘. If each of the remaining exterior angles is x∘, then x=___

The correct option is B 54° A hexagon has 6 exterior angles. The sum of exterior angles =360∘ 40+51+86+3x∘=360 177+3x=360∘ 3x=183∘ x=61∘

Three exterior angles of a hexagon are $40^{\circ}, 51^{\circ}$ and $86^{\circ}$ . If each of the remaining exterior angles is $x^{\circ}$ , then x=___

The correct option is B
54°

A hexagon has 6 exterior angles. The sum of exterior angles $= 360^{\circ}$

$40 + 51 + 86 + 3 x^{\circ} = 360$

$177 + 3 x = 360^{\circ}$

$3 x = 183^{\circ}$

$x = 61^{\circ}$