Find the value of x in each case. Give reasons to justify your solutions! NEEDED ASAP

Which set of reflections would carry trapezoid abcd onto itself? a) x-axis, y=x, y-axis, x-axis b) x-axis, y-axis, x-axis c) y=x, x-axis, x-axis d) y-axis, x-axis, y-axis, x-axis

In need of in the diagram, ∠abc is a right angle. ∠dbc = 30°27'40". find the measure of ∠abd.

If tan2a=cot(a+60), find the value of a, where 2a is an acute angle