Exploring the Exterior Angle Theorem in Triangles

This video tutorial covers the concept of exterior angles in triangles, introducing key terms such as exterior angles and remote interior angles. It explains the exterior angle theorem, which states that the exterior angle of a triangle is equal to the sum of the two remote interior angles. The video demonstrates how to apply this theorem to find missing angles and solve equations, including more advanced problems involving algebraic expressions.

What is an exterior angle of a triangle?

• An angle formed outside the triangle when one side is extended

• An angle inside the triangle

• An angle adjacent to the interior angles

• An angle that sums to 90 degrees

Which of the following are remote interior angles in a triangle?

• Angles inside the triangle that are opposite and not adjacent to the exterior angle

• Angles adjacent to the exterior angle

• Angles that form a straight line with the exterior angle

• Angles that sum to 90 degrees

What does the Exterior Angle Theorem state?

• The exterior angle is equal to the sum of all three interior angles

• The exterior angle is equal to the sum of the two remote interior angles

• The exterior angle is equal to the difference of the two remote interior angles

• The exterior angle is equal to the sum of the two adjacent interior angles

If the remote interior angles are 46° and 67°, what is the exterior angle?

• 113°

• 133°

• 103°

• 123°

Given remote interior angles of 82° and 33°, what is the exterior angle?

• 135°

• 125°

• 115°

• 105°

If the exterior angle is 90° and one remote interior angle is 47°, what is the other remote interior angle?

• 63°

• 73°

• 43°

• 53°

Solve for x: 4x + 6x = 110. What is x?

• 10

• 11

• 12

• 13

Given the equation 5x + 110 = 17x + 14, what is the value of x?

• 6

• 7

• 8

• 9

If 7x + 65 = 20x, what is the value of x?

• 4

• 5

• 6

• 7

Given x = 12, what is the measure of angle KML if it is represented by 11 + 2x?

• 37°

• 35°

• 33°

• 31°