Determine the the Values of X and Y Using Congurent Triangles

The video tutorial explains the concept of vertical angles, highlighting that they are equal in measure. It then applies this knowledge to solve for unknown angles in a triangle, demonstrating the process of setting up and solving equations. The tutorial concludes with a comparison to student work, emphasizing the importance of understanding angle relationships.

What is a key characteristic of vertical angles?

• They are always obtuse angles.

• They are always acute angles.

• They are equal in measure.

• They share a side.

If two angles in a triangle are equal, what can be inferred about them?

• They are complementary.

• They are supplementary.

• They have the same measure.

• They are vertical angles.

What is the sum of all angles in a triangle?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

How do you solve for X if 2X + 2X + 40 = 180?

• X = 35

• X = 45

• X = 20

• X = 40

What is the first step in solving the equation 2X + 2X + 40 = 180?

• Multiply both sides by 2.

• Divide both sides by 4.

• Subtract 40 from both sides.

• Add 40 to both sides.