Question

In the figure above, BC || PQ. BP and CQ intersect at O. If x + y = 80° and :- y=55°, then find .x and y​

Answer 1

Answer:

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Answer 2

Answer:

X= 25 , Y= 55 , Z= 100

Step-by-step explanation:

given, X + Y = 80°

          X + 55° = 80°

          X = 80° - 55°

          X = 25°

Now, angle OCB = angle Y (by alternate interior angles)

         angle OCB = 55°

Now , angle BOC = angle QOP (vertically opposite angles)

          angle BOC = angle Z

in a triangle, sum of all angle is 180°

therefore,

           angle BOC + angle OBC + angle  OCB = 180°

           Z + 25° + 55° = 180°

           Z + 80° = 180°

           Z = 180° - 80°

           Z = 100°

 all angles of triangle are 100° , 55° , 25°