Answer:
z=44
Explanation:
One way to go about this with the given angles is to use the alternate interior angles theorem to find the full measure of ∠C and ∠A. Then, use the same theorem to set ∠BDA as 52°. Subtract all the angle measures from 360 (because the sum of the interior angles of a quadrilateral is = 360 degrees). Then divide the result by 2.
360-84-84-52-52=88
=88/2
=44
So z=44°