Determine values for which a quadrilateral is a parallelogram.

For what value of x must ABCD be a parallelogram?

Quadrilateral ABCD has two horizontal sides and two sides that fall from left to right. Diagonal AC is also shown. Angles BAC and DCA are each marked with an arc. Line segment CD has length 15x – 7. Line segment AB has length 13x + 1


x