How to find an angle in a hexagon - GRE Quantitative Reasoning
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Quantitative Comparison
Quantity A: The degree measure of any angle in an equilateral triangle
Quantity B: The degree measure of any angle in a regular hexagon
Quantitative Comparison
Quantity A: The degree measure of any angle in an equilateral triangle
Quantity B: The degree measure of any angle in a regular hexagon
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.
Quantity B is greater.
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.
Quantity B is greater.
Compare your answer with the correct one above
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.
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.
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.
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
The two quantities are equal.
Compare your answer with the correct one above