I need help please with work so Ik how to do it next time

Given: m∠ adb = m∠cdb ad ≅ dc prove: m∠ bac = m∠bca lol

Find the value of x. give reasons to justify your solutions! l, m ∈ kn

Set $r$ is a set of rectangles such that (1) only the grid points shown here are used as vertices, (2) all sides are vertical or horizontal and (3) no two rectangles in the set are congruent. if $r$ contains the maximum possible number of rectangles given these conditions, what fraction of the rectangles in set $r$ are squares? express your answer as a common fraction.