In the diagram below line segment AD is parallel to line segment BE and A is not on line segment BC. Line segments AD and BC intersect at P. Can angle CAD equal angle CBE?
Thank you for your help in advance!
+128474 Note that if AD is parallel to BE, then corresponding angles ADC and BEC are equal
Thus, in triangles CAD and CBE, angle ADC = angle BEC
But angle ACD > angle BCE
So
Then
ADC + ACD > BEC + BCE
And because all three angles in each triangle will sum to 180
Then angle CAD must be less than angle CBE
