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

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Sum of Exterior Angles of 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 and sum of exterior angles $= 360^{\circ}$

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

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

$\Rightarrow 3 x^{\circ} = 183^{\circ}$

$\Rightarrow x^{\circ} = 61^{\circ}$

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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 and 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 and sum of exterior angles $= 360^{\circ}$

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

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

$\Rightarrow 3 x^{\circ} = 183^{\circ}$

$\Rightarrow x^{\circ} = 61^{\circ}$