Exploring the Exterior Angle of a Triangle Theorem

What is an exterior angle in a triangle?

• An angle inside the triangle

• An angle formed by extending a side of the triangle

• An angle at the midpoint of a side

• An angle formed by the intersection of two sides

What shape is created when a triangle is rotated 180 degrees around the midpoint of one of its sides?

• A hexagon

• A parallelogram

• A trapezoid

• A square

What theorem states that all interior angles of a triangle add up to 180 degrees?

• Angle Bisector Theorem

• Exterior Angle Theorem

• Triangle Sum Theorem

• Pythagorean Theorem

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

• 360 degrees

• 180 degrees

• 90 degrees

• 270 degrees

What shape is created when a triangle is rotated around the midpoint of two of its sides?

• A square

• A pentagon

• A parallelogram

• A trapezoid

What are remote interior angles in a triangle?

• Angles at the vertices of the triangle

• Angles formed by extending the sides

• Angles not adjacent to the exterior angle

• Angles adjacent to the exterior angle

According to the exterior angle theorem, the measure of an exterior angle is equal to:

• The measure of one remote interior angle

• The sum of the two remote interior angles

• The difference between the two remote interior angles

• The sum of the two adjacent interior angles

Which angles add up to form the exterior angle in a triangle?

• The two adjacent interior angles

• The two remote interior angles

• The two angles at the base

• The two exterior angles

In the given example, if the exterior angle measures 149 degrees, what is the sum of the two remote interior angles?

• 149 degrees

• 180 degrees

• 90 degrees

• 60 degrees

If the exterior angle measures 130 degrees and one remote interior angle is 60 degrees, what is the measure of the other remote interior angle?

• 90 degrees

• 130 degrees

• 60 degrees

• 70 degrees