Exploring Interior and Exterior Angles of Polygons

What is an exterior angle in the context of polygons?

• An angle outside the polygon

• None of the above

• An angle inside the polygon

• The sum of all interior angles

How do you find the measure of an exterior angle when given the interior angle?

• Add 180 to the interior angle

• Subtract the interior angle from 180

• Multiply the interior angle by 2

• None of the above

If a polygon's interior angle sum is 540 degrees, what is the sum of its exterior angles?

• 180 degrees

• 360 degrees

• 720 degrees

• 540 degrees

What is the sum of the exterior angles of any polygon?

• 720 degrees

• 180 degrees

• 360 degrees

• 540 degrees

What is the sum of exterior angles for a hexagon?

• 360 degrees

• 720 degrees

• 180 degrees

• 540 degrees

What equation would represent the sum of exterior angles when solving for a variable 'x'?

• 36x + 18 = 360

• 18x + 36 = 360

• 18x - 36 = 360

• 36x - 18 = 360

Using the sum of exterior angles, how would you check the calculation of 'x' in an equation?

• Substitute x and verify the sum is 180 degrees

• Multiply x by the number of sides

• None of the above

• Substitute x and verify the sum is 360 degrees

How many sides does a regular polygon have if one exterior angle measures 60 degrees?

• 8 sides

• 6 sides

• 5 sides

• 10 sides

What is the number of sides of a regular polygon if one interior angle is 135 degrees?

• 8 sides

• 12 sides

• 10 sides

• 6 sides

If the exterior angle of a regular polygon is 45 degrees, how many sides does it have?

• 6 sides

• 8 sides

• 12 sides

• 10 sides