Question

The five angles of a hexagon are 40°, 75°, 125°, 120o and 135°. The measure of the
sixth angle is

Answer 1

Number of sides in a hexagon=n=6

Sum of interior angles=(n−2)180

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=(6−2)180

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=720

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Let the remaining angle be x

⇒x+100

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+120

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+130

∘

+140

∘

=720

∘

⇒x+600

∘

=720

∘

⇒x=720

∘

−600

∘

=120

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∴ Measure of sixth angle is 120

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