Angle Bisectors and Algebraic Angles

The video tutorial covers the concept of angle bisectors within triangles, explaining how they divide angles into two equal parts. It includes three examples: the first demonstrates finding angle measures using angle bisectors, the second provides a practice problem, and the third incorporates algebra to solve for unknown angles. The tutorial emphasizes the sum of angles in a triangle and encourages viewers to solve problems independently before reviewing solutions.

What is the primary function of an angle bisector?

• To divide a triangle into two equal areas

• To cut an angle into two equal parts

• To measure the perimeter of a triangle

• To find the hypotenuse of a right triangle

In a triangle, what is the sum of all interior angles?

• 270 degrees

• 180 degrees

• 90 degrees

• 360 degrees

If BD is an angle bisector in triangle ABC, what can be said about angles 1 and 2?

• Angles 1 and 2 are equal

• Angle 1 is smaller than angle 2

• Angle 1 is larger than angle 2

• Angles 1 and 2 are complementary

Given angles of 60° and 80° in a triangle, what is the measure of the third angle?

• 60°

• 50°

• 40°

• 30°

If an angle of 40° is bisected, what is the measure of each resulting angle?

• 20°

• 15°

• 10°

• 25°

In the second example, if angle A is 70° and the top angle is 60°, what is angle C?

• 70°

• 40°

• 50°

• 60°

What is the missing angle in a triangle if two angles are 60° and 70°?

• 70°

• 50°

• 60°

• 40°

In the algebraic example, what is the value of X if 2X + 16 = 3X - 4?

• 25

• 20

• 15

• 10

After finding X = 20, what is the measure of angle one in the algebraic example?

• 66°

• 36°

• 46°

• 56°

What is the total measure of the angle when two equal angles of 56° are added?

• 132°

• 122°

• 112°

• 102°