Question

if ABCD is an isosceles trapezoid what is the value of x (5x-19)

Answer 1

Any figure available?

Answer 2

An isosceles trapezoid has equal-length legs (the sides that are not the bases, which are the two parallel sides), and equal angles opposite those legs. This is proven by the theorem that states: the base angles of an isosceles trapezoid are equal. Angles D and C are these two equal base angles, so you can set up the equation as 65=5x. Algebra can be used to solve this. Simply divide each side of the equation by 5 to balance it and isolate x, and presto! You've discovered that x=65/5, which simplifies to 13. x=13.