Exploring Vertical Angles and Their Properties

What is the first observation made about the diagram?

• The angles are obtuse.

• The lines are perpendicular.

• The angles are acute.

• The lines are parallel.

What is the measure of the right angle formed by the perpendicular lines?

• 60 degrees

• 45 degrees

• 90 degrees

• 120 degrees

What property do vertical angles have?

• They are always supplementary.

• They are always congruent.

• They are always complementary.

• They are always adjacent.

If one vertical angle is labeled 4x, what is the measure of its opposite angle?

• 8x

• 2x

• 4x

• 6x

What do complementary angles form?

• An obtuse angle

• A right angle

• A straight line

• An acute angle

What is the sum of the angles 2x + 36 and 4x?

• 45 degrees

• 120 degrees

• 60 degrees

• 90 degrees

What is the first step in solving the equation 2x + 4x = 90?

• Add 36 to both sides

• Subtract 36 from both sides

• Combine like terms

• Divide both sides by 6

What is the value of x after solving the equation 6x = 54?

• 8

• 9

• 7

• 6

What is the measure of the blue angle when x = 9?

• 36 degrees

• 54 degrees

• 63 degrees

• 45 degrees

What is the measure of the yellow angle when x = 9?

• 63 degrees

• 54 degrees

• 45 degrees

• 36 degrees