Exterior Angle Postulate Quiz

Imagine Oliver, Henry, and Michael are building a polygonal sandcastle on the beach. Can you tell us what an exterior angle is in this context?

• An exterior angle is an angle formed by two sides of the sandcastle.

• An exterior angle is an angle formed by two adjacent sides of the sandcastle.

• An exterior angle is an angle formed by the intersection of two sandcastles.

• An exterior angle is an angle formed by one side of the sandcastle and the extension of an adjacent side.

Anika, Daniel, and Grace are having a heated debate during their geometry class. They are discussing the measure of an exterior angle of a triangle. Anika says it's equal to the sum of the measures of its remote interior angles. Daniel and Grace are unsure. Is Anika correct?

• Sometimes

• Not enough information

• True

• False

Tags

CCSS.8.G.A.5

Emma, Mason, and Abigail are playing a game where they have to find the measure of remote interior angles of a triangle. They come across a triangle with an exterior angle of 120 degrees. Can you help them find the measure of its remote interior angles?

• 30

• 90

• 120

• 60

Tags

CCSS.8.G.A.5

Mia, Henry, and Ava are discussing the exterior angle theorem. Can you help them understand what it is?

• The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the difference between the measures of its two remote interior angles.

• The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles.

• The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the measure of one of its interior angles.

• The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the product of the measures of its two remote interior angles.

Tags

CCSS.8.G.A.5

Charlotte, Arjun, and Maya are discussing the exterior angle theorem. Arjun says, "The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles." Is Arjun's statement true or false?

• True

• The exterior angle theorem does not exist

• False

• The exterior angle theorem only applies to right triangles

Tags

CCSS.8.G.A.5

Mia, Evelyn, and Arjun are playing a game where they have to find the measure of remote interior angles of a triangle. They come across a triangle with an exterior angle of 150 degrees. Can you help them find the measure of its remote interior angles?

• 120 degrees

• 60 degrees

• 90 degrees

• 30 degrees

Tags

CCSS.8.G.A.5

Sophia, Maya, and Nora are having a fun day at the amusement park. They come across a game where they have to guess the sum of the measures of the exterior angles of any polygon to win a prize. Can you help them out?

• 360

• 45

• 90

• 180

Imagine Benjamin, Isla, and Hannah are having a heated debate. They are discussing polygons and Benjamin makes a bold claim: 'The sum of the measures of the exterior angles of any polygon is always 360 degrees.' Is Benjamin's statement True or False?

• 180 degrees

• True

• 90 degrees

• False