Solving for Unknown Angles

This video tutorial covers solving for unknown angles using equations in seventh grade math. It includes examples and exercises that demonstrate how to set up and solve equations for angles, including using vertical angles and full circle concepts. The tutorial emphasizes the use of color coding to help visualize the problems and solutions.

What is the first step in solving for unknown angles using equations?

• Guess the value of the unknown angle.

• Set up an equation based on known angle measures.

• Use a calculator to find the angle.

• Draw a diagram of the angles.

In Example 1, what is the value of X when the equation X + 14 + 90 = 134 is solved?

• 134

• 30

• 104

• 46

How do you determine the value of Y in Example 1?

• By adding 134 to 180

• By subtracting 134 from 180

• By dividing 134 by 2

• By multiplying 134 by 2

In Example 2, what is the sum of angles that form a full circle?

• 180 degrees

• 270 degrees

• 450 degrees

• 360 degrees

What is the value of X in Example 2 when the equation X + 90 + 5X + 204 = 360 is solved?

• 66

• 55

• 147

• 11

In Example 3, what property of angles is used to solve for X?

• Vertical angles

• Adjacent angles

• Supplementary angles

• Complementary angles

What is the value of X in Example 3 when the equation 90 + 30 = 5X + 3X is solved?

• 15

• 12

• 10

• 18

In the exercise setup, what is the first step to solve for the unknown angle?

• Subtract the known angles from 360.

• Guess the value of the unknown angle.

• Add all known angles together.

• Set up an equation using the known angles.

What should you do after solving for X in the exercises?

• Move on to the next problem without checking.

• Ask a friend if the answer is correct.

• Check the solution by substituting back into the equation.

• Write down the answer and forget about it.

What is the purpose of setting up exercises for students?

• To confuse them.

• To apply learned concepts.

• To make them memorize equations.

• To test their drawing skills.