GRE Math Help » Geometry » Plane Geometry » Hexagons » How to find an angle in a hexagon

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

Quantity B: The degree measure of any angle in a regular hexagon

Explanation:

We know the three angles in a triangle add up to 180 degrees, and all three angles are 60 degrees in an equilateral triangle.

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

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Quantity B is greater.

Quantity A: Double the measure of a single interior angle of an equilateral triangle.

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

Explanation:

Begin with Quantity A. We know the measure of one angle in an equilateral triangle is 60. Therefore, double the angle is 120 degrees.

For the hexagon, use the formula for the sum of the interior angles:

where n= number of sides in a regular polygon

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

degrees, then one angle is
degrees.

The two quantities are equal.

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