Angle Relationships and Algebra in Geometry

This video tutorial covers angle relationships, including vertical and linear pairs, and how to find missing angle measures. It introduces algebraic methods to solve for unknown angles and explores complementary and supplementary angles. The tutorial also includes advanced problems involving bisected angles and algebraic expressions.

What is the measure of angle X if it is a vertical angle to another angle measuring 112°?

• 112°

• 68°

• 180°

• 90°

If two angles form a linear pair and one measures 72°, what is the measure of the other angle?

• 108°

• 180°

• 90°

• 72°

Two angles are complementary. If one angle measures 42°, what is the measure of the other angle?

• 48°

• 38°

• 52°

• 58°

If angle 1 measures 113° and forms a linear pair with angle 2, what is the measure of angle 2?

• 97°

• 87°

• 77°

• 67°

Solve for x if two vertical angles are given as 3x + 47 and 6x - 25.

• x = 30

• x = 18

• x = 12

• x = 24

If two angles form a linear pair and are given as 8x - 5 and 4x - 19, what is the value of x?

• x = 17

• x = 15

• x = 19

• x = 21

Find the measure of angle R if it is complementary to angle S, given as 12x - 3 and x = 5.

• 57°

• 47°

• 63°

• 53°

If angle TUV is bisected by UW, and the two resulting angles are 13x - 5 and 7x + 31, what is the value of x?

• x = 6

• x = 8

• x = 10

• x = 12

What does it mean for a line to bisect an angle?

• It forms a right angle

• It creates a linear pair

• It divides the angle into two equal parts

• It makes the angle complementary

If angle D is 9y + 5 and is vertical to an angle measuring 104°, what is the value of y?

• y = 11

• y = 13

• y = 15

• y = 9