Angles in Polygons

Front

What is the sum of the interior angles of a triangle?

Back

180 degrees

Front

How do you calculate the sum of the interior angles of a polygon with n sides?

Back

(n - 2) × 180 degrees

Front

What is the measure of each interior angle of a regular hexagon?

Back

120 degrees

Front

What is the sum of the interior angles of a quadrilateral?

Back

360 degrees

Front

What is the measure of each interior angle of a regular octagon?

Back

135 degrees

Front

If one angle of a triangle is 90 degrees and another is 45 degrees, what is the measure of the third angle?

Back

45 degrees

Front

What is the relationship between the exterior angle and the interior angles of a polygon?

Back

The exterior angle is equal to the sum of the two opposite interior angles.

Front

How many sides does a polygon have if the sum of its interior angles is 540 degrees?

Back

5 sides (pentagon)

Front

What is the measure of an exterior angle of a regular pentagon?

Back

72 degrees

Front

If a triangle has angles measuring 50 degrees and 60 degrees, what is the measure of the third angle?

Back

70 degrees