Triangle Angles and Exterior Angles

The video tutorial guides viewers through solving a problem involving finding unknown angles in a triangle. It begins with setting up an equation based on the sum of angles in a triangle, then solves for the variable X. The tutorial proceeds to calculate each angle in the triangle and determines the exterior angle using the interior angles. The video concludes with a recap of the steps and key concepts, emphasizing the sum of angles in a triangle and the relationship between exterior and remote interior angles.

What is the sum of the angles in any triangle?

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

What is the first step in solving for the unknown angles in the triangle?

• Use a protractor

• Guess the angles

• Measure the angles directly

• Write an equation based on the sum of angles

How do you solve the equation 8x = 168?

• Multiply both sides by 8

• Subtract 8 from both sides

• Add 8 to both sides

• Divide both sides by 8

If X is 21, what is the value of the angle 5X - 3?

• 100 degrees

• 105 degrees

• 102 degrees

• 98 degrees

What is the value of the angle 2X + 4 when X is 21?

• 46 degrees

• 44 degrees

• 42 degrees

• 50 degrees

What is the value of the angle X + 11 when X is 21?

• 36 degrees

• 34 degrees

• 32 degrees

• 30 degrees

How do you find the exterior angle Y?

• Subtract the smallest interior angle from 180

• Add the two remote interior angles

• Subtract the largest interior angle from 180

• Add all interior angles

What is the value of the exterior angle Y?

• 130 degrees

• 132 degrees

• 134 degrees

• 136 degrees

What is the relationship between an exterior angle and the remote interior angles of a triangle?

• The exterior angle is equal to the smallest interior angle

• The exterior angle is equal to the sum of the remote interior angles

• The exterior angle is equal to the largest interior angle

• The exterior angle is half the sum of the remote interior angles

What is the key takeaway about the sum of angles in a triangle?

• It is always 90 degrees

• It is always 180 degrees

• It is always 360 degrees

• It varies depending on the triangle