Understanding Vertical Angles

The video tutorial explains vertical angles, which are angles opposite each other when two lines intersect, sharing a common vertex. Vertical angles are always congruent, meaning they are equal. The tutorial provides examples to illustrate this concept, including a problem-solving exercise where missing angles are calculated. The video concludes with a summary and encourages viewers to subscribe for more math and science content.

What is the relationship between vertical angles when two lines intersect?

• They are always complementary.

• They are always supplementary.

• They are always congruent.

• They are always different.

When two lines intersect, how many pairs of vertical angles are formed?

• Two pairs

• One pair

• Three pairs

• Four pairs

What happens to vertical angles when one of the intersecting lines is moved?

• They disappear.

• They remain congruent.

• They become unequal.

• They become supplementary.

If angle B is vertically opposite to a 30-degree angle, what is the measure of angle B?

• 90 degrees

• 120 degrees

• 60 degrees

• 30 degrees

In a full circle, if two vertical angles are each 30 degrees, what is the sum of the other two vertical angles?

• 150 degrees

• 300 degrees

• 360 degrees

• 180 degrees

If angles A and C are vertical angles and the sum of all angles around a point is 360 degrees, what is the measure of each angle if the other pair of vertical angles are 30 degrees each?

• 90 degrees

• 180 degrees

• 150 degrees

• 120 degrees