SAT Math : How to find an angle in a hexagon

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #1 : Hexagons

Hexagon1

Possible Answers:

170

200

210

180

190

Correct answer:

190

Explanation:

Hexagon2Hexagon3

Example Question #21 : Geometry

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

Possible Answers:

\(\displaystyle 900\)

\(\displaystyle 720\)

\(\displaystyle 1260\)

\(\displaystyle 540\)

\(\displaystyle 1080\)

Correct answer:

\(\displaystyle 1080\)

Explanation:

The sum of the interior angles of a polygon is given by \(\displaystyle 180(n - 2)\) where \(\displaystyle n\) = number of sides of the polygon.  An octagon has 8 sides, so the formula becomes \(\displaystyle 180(8 -2) = 1080\)

Example Question #21 : Geometry

Find the sum of all the inner angles in a hexagon.

Possible Answers:

\(\displaystyle 900\)

\(\displaystyle 1080\)

\(\displaystyle 540\)

\(\displaystyle 720\)

Correct answer:

\(\displaystyle 720\)

Explanation:

To solve, simply use the formula to find the total degrees inside a polygon, where n is the number of vertices.

In this particular case, a hexagon means a shape with six sides and thus six vertices.

Thus,

\(\displaystyle degrees=(n-2)*180=(6-2)*180=4*180=720\)

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