exam Maths Puzzle Numerical Ability

An isosceles trapezoid must have two pairs of equal adjacent angles. State and prove the converse.

I know what the converse is, but i dont know how to prove it.

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I need some help with these problems I am having problems

Factor completely x^3-x^2-20x

and also

solve: 3/x-1=6/x+2

Thank you
given: line segment gj is the perpendicular bisector of line segment hk.
Prove triangle ghm is congruent to triangle gkm.

this is a proof please help