I need the statement and reason for this proof?

Question

circle P with line segment XW is perpendicular to YZ. prove that arc XY is congruent to X . i really need your help guys..

Answer 1

Congruent Angles have the same angle (in degrees or radians). That is all. They don't have to point in the same direction. They don't have to be on similar sized lines.To show points along the arc form congruent angles:

Draw a circle p with a vertical line YZ and a horizontal line XW perpendicular to YZ.
From the center of the circle, draw a radial line(r) to point X. Draw a tangent line at point X which will be perpendicular to the radial line thus forming a right triangle between line segments XY and the radial line(r). The angle at this point will be congruent with any other line parallel to XY.
I hope this helps, since it's difficult to describe without a diagram.