Exploring Triangle Angle Relationships

The video tutorial covers two main theorems: the triangle angle sum theorem and the remote interior angles theorem. It begins by explaining the sum of angles in a linear pair and a straight angle, leading to the triangle angle sum theorem, which states that the sum of the angles in a triangle is 180 degrees. The tutorial then introduces the remote interior angles theorem, explaining the relationship between exterior and interior angles of a triangle. The video concludes with practice problems to apply these theorems, demonstrating how to solve for unknown angles using the given information.

What is the sum of the angles in a linear pair?

• 45 degrees

• 360 degrees

• 180 degrees

• 90 degrees

What do the three adjacent angles in a straight angle sum to?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

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

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

What are exterior angles in a triangle?

• Angles that are equal to each other

• Angles that sum to 90 degrees

• Angles formed by extending one side of the triangle

• Angles inside the triangle

What is the relationship between an exterior angle and the remote interior angles in a triangle?

• The exterior angle is unrelated to the remote interior angles

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

• The exterior angle is half the sum of the remote interior angles

• The exterior angle is double the sum of the remote interior angles

What is the measure of angle y if angle y and angle theta form a linear pair?

• 90 degrees

• 180 degrees

• 45 degrees

• 360 degrees

If the sum of the interior angles of a triangle is 180 degrees, what is the measure of angle y if angle a and angle b are the remote interior angles?

• Measure of angle y = measure of angle a * measure of angle b

• Measure of angle y = measure of angle a / measure of angle b

• Measure of angle y = measure of angle a - measure of angle b

• Measure of angle y = measure of angle a + measure of angle b

What is the measure of angle a if the sum of the interior angles of a triangle is 180 degrees and angle a is 39 degrees?

• 39 degrees

• 90 degrees

• 51 degrees

• 180 degrees

If angle 1 is 45 degrees and angle 2 is 62 degrees, what is the measure of angle 4, the exterior angle?

• 45 degrees

• 180 degrees

• 90 degrees

• 107 degrees

What is the value of x if the sum of the interior angles of a triangle is 180 degrees and the angles are 39 degrees, 90 degrees, and 51 degrees?

• 15

• 7

• 5

• 10