O is any point on the bisector of the acute angle  XYZ .the line OP is parallel to ZY . then triangle YPO which type triangle will be and how ?  (1) scalene (2) isosceles (3) equilateral (4) right angled $ isosceles 

Dear Student ,
 
Please find below the solution to the asked query :

PYO=QYO  ...1   Since WY is the angle bisector of XYZ POY=QYO  ...2    Alternate interior anglesFrom 1 and 2 , we getPYO=POYYPO is isosceles triangle .
 
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