Im very confused on the question and i don’t know what to do

Step 1: Don't panic

This is a pretty regular congruent triangles proof. We're given two pairs of angles and a pair of segments are congruent; that's almost enough for Angle Side Angle. What we need to show is the two sides included between two pairs of congruent angles are congruent. That's pretty straightforward.

I'm not going to typeset this; read AB as segment AB, = as congruent and the angles as angle N or angle MON.

YO = NZ Given

YO + OZ = NZ + OZ Equals added to equals are equal

YZ = ON Length between collinear points theorem

angles M=X and N=Y Given

angle MON= YZX Triangles angles add to 180 so if two pairs are congruent all three are

triangle MNO = XYZ Angles Side Angle