Mastering Vertical and Angle Relationships in Geometry

Two intersecting lines create angles. If one angle measures 35 degrees, what is the measure of its vertical angle?

• 35 degrees

• 90 degrees

• 25 degrees

• 45 degrees

A pair of vertical angles are equal. If one angle measures 72 degrees, what is the measure of the other angle?

• 90 degrees

• 72 degrees

• 45 degrees

• 60 degrees

In a park, two paths cross each other, forming angles. If one angle is 110 degrees, what is the measure of the adjacent angle?

• 100 degrees

• 60 degrees

• 70 degrees

• 90 degrees

A triangle has one angle measuring 50 degrees and another measuring 70 degrees. What is the measure of the third angle?

• 80 degrees

• 60 degrees

• 90 degrees

• 40 degrees

Two lines intersect, creating angles of 3x and 5x degrees. If the angles are vertical, what is the value of x?

• 30

• 15

• 45

• 22.5

A construction worker needs to find the measure of an angle that is supplementary to a 120-degree angle. What is the measure of the unknown angle?

• 60 degrees

• 90 degrees

• 30 degrees

• 150 degrees

In a classroom, two students are discussing angles. If one angle is 45 degrees and its vertical angle is unknown, what is the measure of the vertical angle?

• 45 degrees

• 60 degrees

• 30 degrees

• 90 degrees

A pair of angles are complementary. If one angle measures 30 degrees, what is the measure of the other angle?

• 45 degrees

• 30 degrees

• 90 degrees

• 60 degrees

During a game, two players create angles of 2y and 3y degrees. If these angles are equal, what is the value of y?

• 1

• 5

• 0

• -3

A building's roof forms two angles that are supplementary. If one angle measures 85 degrees, what is the measure of the other angle?

• 95 degrees

• 80 degrees

• 100 degrees

• 90 degrees