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The interior angles formed by the sides of a hexagon have measures that sum to 720°. What is the measure of angle A?

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m∠A= ?°

The interior angles formed by the sides of a hexagon have measures that sum to 720°. What-example-1

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The sum of the interior angles of a hexagon is 720 degrees.

The figure shows that:

720 = ∠A + ∠B + ∠C + ∠D + ∠E + ∠F
720 = (x-60) + (x-40) + 130 + 120 + 110 + (x-20)

solve for x:

x = 160. Therefore, ∠A = (x-60) = 100
User Pratik Bhoir
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