Answer:The measure of x and y are 45° and 45° respectively.Step-by-step explanation:From the figure, it can be seen that the line l is parallel to line m, and x is the angle made between the horizontal axis and the vertical axis, therefore the measure of the angle x will be 90°.Using the straight line property, we get[tex]x^{\circ}+y^{\circ}+45^{\circ}=180^{\circ}[/tex]Substituting the value of x in the above equation , we get[tex]90^{\circ}+y+45^{\circ}=180^{\circ}[/tex][tex]y+135^{\circ}=180^{\circ}[/tex][tex]y=45^{\circ}[/tex]Therefore, the measure of x and y are 45° and 45° respectively.