Exploring Vertical Angles in Geometry

Mrs. Free G introduces vertical angles, reviews complementary and supplementary angles, and demonstrates how to solve problems using these concepts. The lesson includes example problems and practice exercises, emphasizing the congruence of vertical angles and the supplementary relationship of angles on a straight line.

What is the sum of complementary angles?

• 120 degrees

• 60 degrees

• 180 degrees

• 90 degrees

What is the sum of supplementary angles?

• 120 degrees

• 90 degrees

• 180 degrees

• 60 degrees

What are vertical angles?

• Angles that add up to 180 degrees

• Angles that are adjacent to each other

• Angles that add up to 90 degrees

• Angles that are equal and opposite each other when two lines intersect

If one vertical angle measures 120 degrees, what is the measure of the angle directly across from it?

• 90 degrees

• 180 degrees

• 60 degrees

• 120 degrees

Given two intersecting lines, if one angle is 35 degrees, what is the measure of the vertical angle?

• 35 degrees

• 90 degrees

• 145 degrees

• 180 degrees

If an angle measures 35 degrees, what is the measure of its supplementary angle?

• 180 degrees

• 90 degrees

• 35 degrees

• 145 degrees

If angle M is 115 degrees, what is the measure of angle P, which is supplementary to M?

• 65 degrees

• 115 degrees

• 180 degrees

• 90 degrees

If angle P is 65 degrees, what is the measure of the vertical angle N?

• 180 degrees

• 90 degrees

• 65 degrees

• 115 degrees

If angle H is 45 degrees, what is the measure of the vertical angle?

• 180 degrees

• 45 degrees

• 135 degrees

• 90 degrees

If angle X is 121 degrees, what is the measure of its supplementary angle Y?

• 90 degrees

• 59 degrees

• 121 degrees

• 180 degrees