in the adjoning figure abcd is a paralleogram and pis the midpoint of ab. if ab=2ad then find andle cpd
Anonymous:
The question can be solved without a figure too
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When we form triangle APD and BPD, they both are isosceles triangles as
AD = AP and BC = BP as P is the midpoint.
Forming triangle CPD, the following angles are equal as they are alternate.
Angle PCD = Angle BPC
Angle PDC = Angle DPA
The angles of any triangle are supplementary (sum=180°), so are the angles adjacent on a straight line therefore making triangle PCD and equilateral triangle hence Angle CPD = 60°
AD = AP and BC = BP as P is the midpoint.
Forming triangle CPD, the following angles are equal as they are alternate.
Angle PCD = Angle BPC
Angle PDC = Angle DPA
The angles of any triangle are supplementary (sum=180°), so are the angles adjacent on a straight line therefore making triangle PCD and equilateral triangle hence Angle CPD = 60°
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