Find the measure of x given interior angles of a quadrilateral

The video tutorial guides students through determining the value of X in a polygon. It begins with identifying the properties of a polygon and applying the interior angle sum theorem. The instructor then formulates an equation to solve for X by combining like terms. The solution process is demonstrated step-by-step, leading to the conclusion that X equals 36.

What is a key characteristic of a polygon?

• It has no angles.

• It is open.

• It has sides and angles.

• It has curved sides.

How many degrees is the sum of the interior angles of a quadrilateral?

• 180 degrees

• 360 degrees

• 540 degrees

• 720 degrees

What is the formula for calculating the sum of interior angles of a polygon?

• N * 180 degrees

• N * 360 degrees

• (N-2) * 180 degrees

• (N-2) * 90 degrees

What is the first step in solving for X in the equation X + 2X + 3X + 4X = 360?

• Subtract 360 from both sides.

• Multiply all terms by 2.

• Combine like terms.

• Divide by 10.

What is the value of X when 10X equals 360?

• 10

• 20

• 36

• 40