Solving Vertical Angles and Equations

The video tutorial explains the concept of vertical angles formed by intersecting lines, highlighting that vertical angles have equal measures. It demonstrates solving for unknown angles using algebraic expressions, focusing on angles DBC and ABC. The tutorial also covers supplementary angles, showing how to calculate an angle when its supplement is known. The process involves setting up equations, isolating variables, and substituting values to find angle measures.

What happens when two lines intersect each other?

• They form right angles.

• They form obtuse angles.

• They form vertical angles.

• They form parallel lines.

Which of the following pairs are vertical angles?

• Angle EBC and Angle ABC

• Angle ABC and Angle DBE

• Angle EBC and Angle DBA

• Angle DBA and Angle DBE

If two vertical angles are represented by the expressions X + 25 and 2X + 5, what is the value of X?

• 20

• 15

• 10

• 25

What is the measure of the angle represented by the expression X + 25 when X equals 20?

• 45 degrees

• 35 degrees

• 25 degrees

• 55 degrees

What is the measure of the angle represented by the expression 2X + 5 when X equals 20?

• 35 degrees

• 45 degrees

• 55 degrees

• 65 degrees

What is the sum of supplementary angles?

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

If one angle of a supplementary pair is 58 degrees, what is the measure of the other angle?

• 112 degrees

• 122 degrees

• 132 degrees

• 142 degrees

What is the value of X if 8X - 6 equals 7X + 2?

• 6

• 7

• 8

• 9

What is the measure of the angle represented by the expression 8X - 6 when X equals 8?

• 78 degrees

• 68 degrees

• 58 degrees

• 48 degrees

What is the measure of angle ABC if its supplementary angle measures 58 degrees?

• 142 degrees

• 112 degrees

• 122 degrees

• 132 degrees