7x-4+3x+14. find value of X if this quadrilateral is a rectangle...I just need the answer with a Step-by-step explanation.Thanks.



Respuesta :

Answer: X = 35 (if this quadrilateral is a rectangle)

Step-by-step explanation: The sum of the interior angles of a rectangle equals 360. Basically, each angle in a rectangle measures 90 degrees.

Hence, from the equation given, addition of all terms must equal 360.

7x - 4 + 3x + 14 = 360

7x + 3x + 14 - 4 = 360

10x + 10 = 360

Subtract 10 from both sides of the equation

10x = 350

Divide both sides of the equation by 10

x = 35