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Kipish [7]
2 years ago
8

What is the measure of each exterior angle for a regular hexagon?

Mathematics
1 answer:
siniylev [52]2 years ago
4 0
<h3>Answer: C) 60</h3>

Explanation:

There are n = 6 sides in a regular hexagon, so each exterior angle is E = 360/n = 360/6 = 60

The rule E = 360/n only works for regular polygons with n sides, which means the polygons must have all sides the same length and all angles the same value.

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1. What is the value of x? Show your work to justify your answer.
Reil [10]

Answer:

x=72 and the exterior angle is 154

Step-by-step explanation:

We will call the unknown angle in the triangle y.  Angle y and the angle (2x +10) form a straight line so they make 180 degrees.

y + 2x+10 =180

Solve for y by subtracting 2x+10 from each side.

y + 2x+10 - (2x+10) =180 - (2x+10)

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y = 170-2x


The three angles of a triangle add to 180 degrees

x+ y+ 82 = 180

x+ (170-2x)+82 = 180

Combine like terms

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Subtract 252 from each side

-x+252-252 = 180-252

-x = -72

Multiply each side by -1

-1*-x = -72*-1

x=72

The exterior angle is 2x+10.  Substitute x=72 into the equation.

2(72)+10

144+10

154


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