GRE Math assist » Geometry » aircraft Geometry » Hexagons » exactly how to discover an edge in a hexagon

Quantity A: The level measure of any type of angle in an equilateral triangle

Quantity B: The level measure of any kind of angle in a consistent hexagon


Explanation:

We know the three angles in a triangle include up come 180 degrees, and also all 3 angles room 60 degrees in an it is intended triangle. 

A hexagon has six sides, and also we can use the formula levels = (# of sides – 2) * 180. Then degrees = (6 – 2) * 180 = 720 degrees. Every angle is 720/6 = 120 degrees.

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Quantity B is greater.


Quantity A: twin the measure of a solitary interior edge of an equilateral triangle.

Quantity B: The measure up of a single interior angle of a hexagon.


Explanation:

Begin with amount A. We know the measure of one angle in an it is provided triangle is 60. Therefore, twin the angle is 120 degrees.

For the hexagon, usage the formula because that the amount of the internal angles:

*

where n= variety of sides in a continuous polygon

*

*

*

If the amount of the internal angles the a constant hexagon is

*
 degrees, climate one edge is
*
 degrees.

The two quantities are equal.


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