GRE Math help » Geometry » plane Geometry » Hexagons » exactly how to find 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 type of angle in a continuous hexagon

Explanation:

We recognize the 3 angles in a triangle add up come 180 degrees, and also all three angles room 60 levels in an equilateral triangle.

A hexagon has six sides, and we can use the formula levels = (# of political parties – 2) * 180. Then levels = (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 up of a solitary interior edge of an it is provided triangle.

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

Explanation:

Begin with quantity A. We recognize the measure of one edge in an it is intended triangle is 60. Therefore, twin the edge is 120 degrees.

For the hexagon, use the formula because that the amount of the inner angles:

where n= variety of sides in a constant polygon

If the amount of the interior angles of a regular hexagon is

degrees, climate one edge is
degrees.

See more: How Many Basketball Courts Fit In A Soccer Field ), Sports Arena Size Comparison

The two quantities are equal.

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