Geometry: Division of Segments and Angles (Level 8 of 8)

This video tutorial covers the division of segments and angles, focusing on angle bisectors and trisectors. It presents two challenging examples, providing geometric relations and algebraic expressions to solve for unknown angles. The first example involves trisecting an angle and solving for variables x and y, while the second example deals with bisecting angles and finding the measurement of a specific angle. The video concludes the series on division of segments and angles, setting the stage for the next series on coordinate geometry.

What is the main focus of the video series on division of segments and angles?

• Learning about parallel lines

• Studying the properties of circles

• Understanding coordinate geometry

• Exploring angle bisectors and trisectors

If ray OP and ray OR trisect angle NOS, what can be said about angles NOP, POR, and ROS?

• They are congruent

• They are supplementary

• They are complementary

• They are right angles

In the first example, what is the value of y when solving for the measurement of angle ROS?

• 15

• 20

• 10

• 25

What is the measurement of angle ROS after substituting the value of y?

• 5 degrees

• 10 degrees

• 15 degrees

• 20 degrees

In the second example, what is the total measurement of angle BAC?

• 90 degrees

• 110 degrees

• 120 degrees

• 100 degrees

What is the relationship between angles BAD and DAF in the second example?

• They are complementary

• They are right angles

• They are supplementary

• They are congruent

What is the final measurement of angle DAE in the second example?

• 75 degrees

• 60 degrees

• 45 degrees

• 30 degrees