Five angles of a hexagon are equal- If the sixth angle measures 145- then the measure of each of the five angles is

The correct option is B 40 In a hexagon, no of sides, n = 6 Let the equal angles measure x^∘ each, then, sum of the interior angles = (2n 4) × 90^∘ = 8(90 ...

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Standard VI

Mathematics

Hexagon

Five angles o...

Question

Five angles of a hexagon are equal. If the sixth angle measures $145^{\circ}$ , then the measure of each of the five angles is

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Solution

The correct option is B
40

In a hexagon, no of sides, n = 6
Let the equal angles measure $x^{\circ}$ each, then, sum of the interior angles $= (2 n - 4) \times 90^{\circ} = 8 (90^{\circ}) = 720^{\circ} ∴ 5 x^{\circ} + 145^{\circ} = 720^{\circ} 5 x = 575^{\circ} x^{\circ} = 115^{\circ}$

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Five angles of a hexagon are equal. If the sixth angle measures 145∘, then the measure of each of the five angles is

The correct option is B 40 In a hexagon, no of sides, n = 6 Let the equal angles measure x∘ each, then, sum of the interior angles =(2n−4)×90∘=8(90∘)=720∘∴5x∘+145∘=720∘5x=575∘x∘=115∘

Five angles of a hexagon are equal. If the sixth angle measures $145^{\circ}$ , then the measure of each of the five angles is

The correct option is B
40

In a hexagon, no of sides, n = 6
Let the equal angles measure $x^{\circ}$ each, then, sum of the interior angles $= (2 n - 4) \times 90^{\circ} = 8 (90^{\circ}) = 720^{\circ} ∴ 5 x^{\circ} + 145^{\circ} = 720^{\circ} 5 x = 575^{\circ} x^{\circ} = 115^{\circ}$