am kinda mad rn because of math so Im gonna send my writing assignment work
No, <CAD can never equal <CBE. Because AD || BE, <PDC = <BEC and <CPD = <CBE because they are corresponding angles. <PCD = <BCE because they are the same angle. Because triangle PCD's angles equal triangle BCE's, and their sides are not equal, triangle PCD is similar to triangle BCE. However, triangle ACD is not similar or congruent to triangle BCE because <ACD is greater than <PCD, which is equal to <BCE. If we set <ACD as x+<PCD, <CAD = 180 - x- <PCD - <PDC. On the other hand, <CBE = 180 - <BCD - <BEC. Because <BCD = <PCD, and <BEC = <PDC, the equation equals <CBE = 180 - <PCD - <PDC. Because 180 - x - <PCD - <PDC does not equal 180 - <PCD - <PDC, and x is a non-zero positive number, <CAD can not equal <CBE.