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Lines AB and CD are parallel, with a point P between them. A bent line goes from AB down to P and then on to CD. The angle the upper part makes with AB is 35° and the angle the lower part makes with CD is 25°.
Draw a line through P parallel to AB and CD. Find the bend angle at P (the total angle of the bend).

Class 9Parallel Lines and a TransversalGeometry — Lines and Angles
  • A120
  • B54
  • C66
  • D60

Step-by-Step Solution

Draw a line through P parallel to AB and CD. By alternate interior angles, the upper part makes 35° with this line and the lower part makes 25° with it. The bend angle = 35 + 25 = 60°.
Answer: D) 60

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