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Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

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Find the interior angles of a hexagon if the sizes of the angles form an arithmetic sequence, and the smallest angle is 70°.

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

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Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle
Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Possible Answers:

Explanation:

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle
Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

If a triangle has 180 degrees, what is the sum of the interior angles of a regular octagon?

Possible Answers:

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Correct answer:

Explanation:

The sum of the interior angles of a polygon is given by 

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle
where 
Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle
= number of sides of the polygon.  An octagon has 8 sides, so the formula becomes
Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

In a rectangular hexagon, what is the meaure of each interior angle?

Possible Answers:

Correct answer:

120 degrees

Explanation:

The sum of the interior angles of a hexagon must equal 720 degrees. Because the hexagon is regular, all of the interior angles will have the same measure. A hexagon has six sides and six interior angles. Therefore, each angle measures

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle
.

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Note:Figure NOT drawn to scale.

Refer to the above figure. Evaluate 

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle
.

Possible Answers:

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Correct answer:

Explanation:

The sum of the degree measures of the angles of a (six-sided) hexagon, is

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

We can solve for 

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle
 in the equation

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Note: Figure NOT drawn to scale.

Refer to the above figure. Evaluate .

Possible Answers:

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Correct answer:

Explanation:

The sum of the degree measures of the angles of a (six-sided) hexagon, is

We can solve for  in the equation

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Three angles of a hexagon measure 

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle
. The other three angles are congruent to one another. What is the measure of each of the latter three angles?

Possible Answers:

This hexagon cannot exist.

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Correct answer:

Explanation:

The sum of the degree measures of the angles of a (six-sided) hexagon, is

Let 

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle
 be the common measure of the three congruent angles in question. We can solve for  in the equation

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

What is the measurement of one of the interior angles of a regular hexagon?

Possible Answers:

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Correct answer:

Explanation:

To find the sum of the interior angles of any regular polygon, use the formula 

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle
, where 
Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle
 represents the number of sides of the regular polygon.

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

The sum of the interior angles of a regular hexagon is 720 degrees. To find the measurement of one angle, divide by the number of interior angles (or sides):

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

The measurement of one angle in a regular hexagon is 120 degrees.

Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

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Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

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Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

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Two angles of a hexagon are 130 and 170 if remaining four angles are equal, find each equal angle

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