Exterior Angle Sum Worksheet

If you're a math student looking to practice and reinforce your knowledge of exterior angle sums, then you've come to the right place. This blog post is specifically tailored for individuals who are seeking a comprehensive worksheet to challenge their understanding of this particular concept.

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  Parallel Lines and Transversals Worksheet Key

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What is the definition of an exterior angle?

An exterior angle is an angle formed by one side of a polygon and the extension of an adjacent side of that polygon. It extends outside of the polygon itself.

What is the interior angle of a triangle if one of its exterior angles is 120 degrees?

The interior angle of a triangle is equal to the sum of the two remote interior angles of the triangle. Since the exterior angle is 120 degrees, the interior angle is equal to 180 degrees (the sum of the two remote interior angles) minus 120 degrees (the exterior angle), which equals 60 degrees.

How many exterior angles does a hexagon have?

A hexagon has six exterior angles.

If the exterior angle of a polygon is 45 degrees, what is the measure of each interior angle?

The measure of each interior angle of a polygon can be calculated using the formula (n-2) * 180 / n, where n is the number of sides of the polygon. Since the exterior angle is 45 degrees, the sum of the exterior angles is 360 degrees (for a full circle), resulting in 360 / 45 = 8 sides for the polygon. Using the formula, we find that each interior angle of the polygon measures 135 degrees.

In a regular polygon, what is the measure of each exterior angle?

The measure of each exterior angle in a regular polygon is equal to 360 degrees divided by the number of sides in the polygon.

How do you find the sum of the exterior angles of any polygon?

To find the sum of the exterior angles of any polygon, you simply add up all the exterior angles. The sum of the exterior angles of any polygon is always 360 degrees. This means that if you were to extend all the sides of a polygon outward, the total angle formed at each vertex would always add up to 360 degrees.

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

The sum of the exterior angles of any polygon, including a quadrilateral, is always 360 degrees. Each exterior angle is formed by extending one side of the polygon and the adjacent side, creating a full circle when added together.

How are the exterior angles of a regular polygon related to its interior angles?

The exterior angles of a regular polygon are related to its interior angles by the formula: exterior angle = 360°/number of sides. This means that the exterior angle and the interior angle of a regular polygon are supplementary, meaning they add up to 180°. So, if you know the measure of one type of angle, you can easily find the measure of the other type by using this relationship.

What is the sum of the exterior angles of a 12-sided polygon?

The sum of the exterior angles of any polygon is always 360 degrees. Therefore, the sum of the exterior angles of a 12-sided polygon is also 360 degrees.

If the sum of the interior angles of a polygon is 1440 degrees, what is the sum of its exterior angles?

The sum of the exterior angles of any polygon is always 360 degrees. This is a constant rule for all polygons regardless of the number of sides or the size of the interior angles. Therefore, in this case where the sum of the interior angles of the polygon is 1440 degrees, the sum of its exterior angles would be 360 degrees.