Solve for the missing variable using vertical and complementary angels ex

The video tutorial explains how to solve for X using complementary and vertical angles. It begins by introducing the concept of a 90-degree angle and the intersection of perpendicular lines that form vertical angles. The tutorial then demonstrates how to use these angles to set up an equation, showing that the sum of complementary angles equals 90 degrees. By solving the equation 34 + X = 90, the missing angle X is found to be 56 degrees. The video concludes with a summary of the method used.

What does the small box in the angle diagram represent?

• A 90-degree angle

• A 45-degree angle

• A 180-degree angle

• A 360-degree angle

What is a key characteristic of vertical angles?

• They share a common side

• They are always acute

• They are always obtuse

• They share the same vertex

If two angles are complementary, what is their sum?

• 360 degrees

• 45 degrees

• 90 degrees

• 180 degrees

How do you find the value of X in the equation 34 + X = 90?

• Add 34 to 90

• Subtract 34 from 90

• Multiply 34 by 90

• Divide 90 by 34

What is the value of X if 34 + X = 90?

• 124 degrees

• 90 degrees

• 56 degrees

• 34 degrees