Question

Trapezoid JKLM is a cross section of a lampshade. The diagonals of JKLM are congruent, and the measure of ∠J is 65degrees. What is the measure of ∠L?

m∠L=?

Answer 1

The same as the angle for K

Focus on the left side and imagine you ride a motorcycle on the dotted path.

in both left corners you turn around 180° with exactly two rather sharp turns.

We already know that one is 65°, so the other one has to be 115°.

Hence, the angles of K and L are 115°