Complementary Angles and Expressions

The video tutorial explains how to find the measure of angle MON given that ray OL is perpendicular to ray ON, forming a right angle. It describes the expressions for angles LOM and MON, and demonstrates how to solve for x by setting up an equation based on the complementary nature of the angles. Once x is found, it is used to calculate the measure of angle MON, which is determined to be 24 degrees.

What is the relationship between ray OL and ray ON?

• They are equal in length.

• They are perpendicular.

• They form an acute angle.

• They are parallel.

What is the expression for the measure of angle LOM?

• 3x + 46

• 3x - 6

• 2x - 46

• 2x + 46

What is the expression for the measure of angle MON?

• 2x - 46

• 3x + 6

• 3x - 6

• 2x + 46

What is the sum of angles LOM and MON?

• 90 degrees

• 180 degrees

• 60 degrees

• 45 degrees

What type of angles are LOM and MON?

• Vertical

• Complementary

• Adjacent

• Supplementary

What is the combined expression for angles LOM and MON?

• 5x + 40

• 4x - 40

• 5x - 40

• 4x + 40

What is the value of x after solving the equation?

• 15

• 20

• 10

• 5

What is the measure of angle MON after finding x?

• 30 degrees

• 24 degrees

• 18 degrees

• 12 degrees

How do you calculate the measure of angle MON using x?

• 2x + 46

• 2x - 46

• 3x - 6

• 3x + 6

What is the final step to find the measure of angle MON?

• Divide 3x by 2

• Multiply 3x by 2

• Subtract 6 from 3x

• Add 6 to 3x