Exploring Interior and Exterior Angles of Polygons

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

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

Which theorem helps in understanding the sum of interior angles in a triangle?

• Circle Theorem

• Pythagorean Theorem

• Triangle Sum Theorem

• Exterior Angle Theorem

What do we observe when we align the three angles of a triangle?

• They form a circle

• They form a right angle

• They form a straight line

• They overlap completely

What is the measure of a straight line in degrees?

• 180 degrees

• 90 degrees

• 360 degrees

• 270 degrees

What geometric shape's angles did the teacher use to demonstrate the sum of angles?

• Rectangle

• Circle

• Square

• Triangle

What total degree measure do the three angles of a triangle sum up to when aligned?

• 90 degrees

• 360 degrees

• 180 degrees

• 270 degrees

What is the purpose of an auxiliary line in geometric proofs?

• To measure angles

• To create parallel lines

• To divide shapes

• To assist in proving relationships

Which angles are congruent due to being alternate interior angles in the provided example?

• Angle 3 and Angle CBA

• Angle 1 and Angle 2

• Angle 2 and Angle 3

• Angle 1 and Angle CBA

What happens to the angles of a triangle when an auxiliary line is used?

• They prove the sum is 180 degrees

• They remain unchanged

• They become obtuse

• They decrease in measure

How can alternate interior angles be described in the context of the lesson?

• Angles opposite each other

• Angles next to each other

• Angles on opposite sides of a transversal

• Angles on the same side of a transversal