# PSAT Math : How to find an angle in a hexagon

## Example Questions

210

170

190

200

180

### Example Question #532 : Plane Geometry

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

The sum of the interior angles of a polygon is given by where = number of sides of the polygon.  An octagon has 8 sides, so the formula becomes ### Example Question #11 : Hexagons

In a rectangular hexagon, what is the meaure of each interior angle?

150 degrees

90 degrees

105 degrees

72 degrees

120 degrees

120 degrees

Explanation:

The sum of the interior angles of a hexagon must equal 720 degrees. Because the hexagon is regular, all of the interior angles will have the same measure. A hexagon has six sides and six interior angles. Therefore, each angle measures .

### Example Question #581 : Geometry Note:Figure NOT drawn to scale.

Refer to the above figure. Evaluate .      Explanation:

The sum of the degree measures of the angles of a (six-sided) hexagon, is We can solve for in the equation   ### Example Question #13 : Hexagons Note: Figure NOT drawn to scale.

Refer to the above figure. Evaluate .      Explanation:

The sum of the degree measures of the angles of a (six-sided) hexagon, is We can solve for in the equation    ### Example Question #1 : How To Find An Angle In A Hexagon

Three angles of a hexagon measure . The other three angles are congruent to one another. What is the measure of each of the latter three angles?

This hexagon cannot exist.     Explanation:

The sum of the degree measures of the angles of a (six-sided) hexagon, is Let be the common measure of the three congruent angles in question. We can solve for in the equation    ### Example Question #15 : Hexagons

What is the measurement of one of the interior angles of a regular hexagon?      Explanation:

To find the sum of the interior angles of any regular polygon, use the formula , where represents the number of sides of the regular polygon.   The sum of the interior angles of a regular hexagon is 720 degrees. To find the measurement of one angle, divide by the number of interior angles (or sides):  The measurement of one angle in a regular hexagon is 120 degrees.

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