Geometry: Measurement of Angles (Level 9 of 9)

This video is the final installment in the Measurement of Angles series. It covers two examples that require algebra to solve angle measurement problems. The first example involves a right angle and uses algebraic expressions to find the measure of angle POC. The second example involves solving a system of equations to find the values of x and y for angles TRS and XRS. The video concludes the series and introduces the next topic, collinearity.

What is the main focus of the final video in the Measurement of Angles series?

• Examples requiring algebra to solve angle measurements

• Review of previous concepts

• Introduction to collinearity

• Introduction to algebra

If angle POA is a right angle and angle POC is three times angle COA, what is the measure of angle POC?

• 90 degrees

• 67.5 degrees

• 22.5 degrees

• 45 degrees

In the first example, what variable is used to represent the measure of angle COA?

• x

• z

• y

• w

What is the measure of angle XRS in the second example?

• 45 degrees

• 60 degrees

• 90 degrees

• 120 degrees

In the second example, what method is used to solve the system of equations?

• Substitution method

• Trial and error

• Elimination method

• Graphical method

What are the final values of x and y in the second example?

• x = -10, y = 40

• x = 10, y = -40

• x = 10, y = 40

• x = -10, y = -40

What topic will be covered in the next series of videos following the Measurement of Angles?

• Parallel lines

• Collinearity

• Triangles

• Quadrilaterals