Triangle Angles and Theorems

This video tutorial covers two key angle theorems for triangles: the Triangle Sum Theorem and the Exterior Angle Theorem. The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees. The Exterior Angle Theorem explains that an exterior angle is equal to the sum of the two remote interior angles. The video provides explanations, proofs, and examples to help students understand and apply these theorems effectively.

What are the two main theorems discussed in this lesson?

• Pythagorean Theorem and Triangle Sum Theorem

• Exterior Angle Theorem and Pythagorean Theorem

• Triangle Sum Theorem and Exterior Angle Theorem

• Triangle Sum Theorem and Angle Bisector Theorem

According to the Triangle Sum Theorem, what is the sum of the interior angles of a triangle?

• 270 degrees

• 360 degrees

• 180 degrees

• 90 degrees

Can a triangle have two right angles? Why or why not?

• Yes, because two right angles can form a triangle

• Yes, if the third angle is acute

• No, because two right angles already sum to 180 degrees

• No, because a triangle must have three equal angles

In a right triangle, what is the sum of the two acute angles?

• 135 degrees

• 90 degrees

• 180 degrees

• 45 degrees

What is the role of a transversal in relation to parallel lines?

• It divides the parallel lines into equal segments

• It forms a right angle with the parallel lines

• It bisects the parallel lines

• It creates alternate interior angles

What is an exterior angle in a triangle?

• An angle that is adjacent to the base

• An angle that is equal to 90 degrees

• An angle outside the triangle

• An angle inside the triangle

How many exterior angles does a triangle have in total?

• Three

• Four

• Five

• Six

According to the Exterior Angle Theorem, what is the exterior angle equal to?

• The sum of the adjacent interior angles

• The sum of the remote interior angles

• The product of the interior angles

• The difference between the interior angles

If an exterior angle is 52 degrees, and one remote interior angle is 28 degrees, what is the other remote interior angle?

• 24 degrees

• 32 degrees

• 26 degrees

• 30 degrees

What is the relationship between alternate interior angles when a transversal crosses parallel lines?

• They are complementary

• They are supplementary

• They are unequal

• They are congruent