Calculate the size of angle x in the given quadrilateral.

Answer

To find the size of angle x in the quadrilateral, we will use the fact that the sum of the internal angles in any quadrilateral is 360 degrees. 1. We have a quadrilateral with one angle measuring 240 degrees. 2. Let's denote the three angles that measure x as angle 1, angle 2, and angle 3 (all equal to x). 3. Therefore, we can write the equation for the sum of the angles: angle 1 + angle 2 + angle 3 + 240° = 360° Since angle 1 = angle 2 = angle 3 = x, we get: x + x + x + 240° = 360° Simplifying this, we have: 3x + 240° = 360° 4. Now, subtract 240° from both sides to isolate the term with x: 3x = 360° - 240° 3x = 120° 5. To solve for x, divide both sides by 3: x = 120° / 3 x = 40°. Thus, the size of angle x is 40 degrees.