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What is the measure of the smallest interior angle of the hexagon shown?

What is the measure of the smallest interior angle of the hexagon shown?-example-1
User Nile
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1 Answer

1 vote

Answer: C) 70 degrees

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Step-by-step explanation:

We have n = 6 sides, so the interior angles must add to 180(n-2) = 180(6-2) = 720 degrees

Lets add up the angles, set the sum equal to 720 and solve for x

x+2x+115+2x+115+2x = 720

7x+230 = 720

7x = 720-230

7x = 490

x = 490/7

x = 70

This makes angle 2x = 2*70 = 140 degrees

We see that x = 70 is the smallest angle, so that's why C is the answer.

User Sachsure
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