How to Write Equations Using Vertical Angles

This lesson teaches how to write equations using vertical angles. It begins with a review of vertical angles, explaining that they are formed by intersecting lines and share a common vertex. The lesson addresses common misunderstandings and provides examples, including a problem involving the John Hancock building and another test-like problem. The video concludes with a summary of the key concepts learned.

What is a key characteristic of vertical angles?

• They are always right angles.

• They always have the same measure.

• They are always acute angles.

• They are formed by parallel lines.

Which of the following is true about vertical angles?

• They must share a common vertex and extensions of the same sides.

• They must be adjacent angles.

• They must be complementary angles.

• They must be supplementary angles.

In the John Hancock building problem, what is the measure of angle 3 if angles 1 and 2 are 35 and 58 degrees respectively?

• 100 degrees

• 85 degrees

• 90 degrees

• 93 degrees

In the second example problem, what is the measure of angle EBF if angle ABC is 59.86 degrees and angle DBE is 48.74 degrees?

• 13.12 degrees

• 11.12 degrees

• 12.12 degrees

• 10.12 degrees

How do you isolate a variable in an equation involving vertical angles?

• Multiply both sides by the same value.

• Divide both sides by the same value.

• Subtract the known angle from the total angle.

• Add the same value to both sides.