# Trapezoid angles with bases and legs

I wanna know how to find angles of trapezoid (approx) with Bases and legs. Bases are 10cm and 13cm and legs are 6cm and 4cm. Thanks!!

• One way: extend the legs until they intersect, then calculate the sides of the triangle that formed, then solve the triangle for the base angles. – dxiv Apr 30 '17 at 17:52

Label the vertices of the trapezoid $ABCD$ in sequence around the trapezoid so that its bases are $AB=10$ and $CD=13$ and its legs are $AD=6$ and $BC=4.$
Put $P$ on the line between $C$ and $D$ such that $CP = 10.$ Then the quadrilateral $ABCP$ is a parallelogram, and $AP = BC = 4.$