Angle Relationships and Measurements

The video tutorial explains how to determine the value of X in a triangle diagram where angle A equals 2B. It begins by substituting 2B for A and calculating the interior angles of the triangle as 2B, 3B, and B. The sum of these angles is set to 180 degrees, leading to the equation 6B = 180. Solving this equation gives B = 30. Using this, the acute angle is found to be 30 degrees, and X is calculated as 150 degrees by forming a straight angle with the acute angle.

What is the relationship between angles A and B in the triangle?

• A is equal to B

• A is twice B

• A is three times B

• A is half of B

If the angles of a triangle are 2B, 3B, and B, what is the sum of these angles?

• 360 degrees

• 90 degrees

• 180 degrees

• 270 degrees

What is the value of angle B if 6B equals 180 degrees?

• 25 degrees

• 35 degrees

• 20 degrees

• 30 degrees

What is the value of angle A if B is 30 degrees?

• 30 degrees

• 60 degrees

• 90 degrees

• 120 degrees

What is the value of X if it forms a straight angle with 30 degrees?

• 140 degrees

• 150 degrees

• 120 degrees

• 130 degrees