Understanding Opposite Angles by the Vertex

The video tutorial by Gigi explains the concept of opposite angles by vertex, known as OPV. It covers the properties of these angles, demonstrating that they are congruent. The tutorial includes a detailed explanation, a demonstration of congruence, and several example problems to illustrate the concept. The video aims to help students understand and solve problems related to opposite angles by vertex.

What is the abbreviation used for opposite angles by the vertex?

• OAV

• OAVT

• OPV

• OVP

When two lines intersect, how many semi-lines are formed?

• Three

• Two

• Four

• Five

What is the relationship between opposite angles by the vertex?

• They are supplementary

• They are complementary

• They are adjacent

• They are congruent

If angle AOB is 30 degrees, what is the measure of its opposite angle?

• 30 degrees

• 60 degrees

• 90 degrees

• 120 degrees

What is the measure of an obtuse angle?

• More than 90 degrees but less than 180 degrees

• Exactly 90 degrees

• Less than 90 degrees

• Exactly 180 degrees

In the example, what is the value of x if 4x + 2 = 2x + 16?

• 8

• 6

• 5

• 7

What is the sum of angles A and B if they are opposite angles by the vertex?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

If angle A is 37 degrees, what is the measure of angle B if they are opposite angles?

• 37 degrees

• 53 degrees

• 90 degrees

• 143 degrees

What is the measure of angle C if angle A is 36 degrees and they are supplementary?

• 54 degrees

• 144 degrees

• 36 degrees

• 180 degrees

What is the measure of angle D if angle C is 144 degrees and they are opposite angles?

• 180 degrees

• 144 degrees

• 72 degrees

• 36 degrees