Question

Q. 1 In the given figure, P is the midpoint of AB, angle ACP = angle BDP, DP= (3y) cm, AC = (x + y) cm, CP = (2x) cm, BD = 5 cm, find the value of x and y.​



plz ans fast I will mark you the brainiest

Answer 1

Answer:

hey mate here is your answer

Step-by-step explanation:

→ Given :

→ AB//DC ,and P is the midpoint of BD.

→To prove : P is the midpoint of AC

→ Or

→[ PA = PC ]

→ Proof :

→In ∆PDC and ∆PBA ,

→ <PDC = <PBA

→ [ AB//DC, alternate angles ]

→ PD = PB [ P is the midpoint of BD ]

→ <DPC = <BPA [ Vertically opposite angles]

→ Therefore,

→ ∆PDC is congruent to ∆PBA

→Now ,

→PC = PA [ C.P.C.T ]

→ P is the midpoint of AC

hope it was help full thank you

kindly refer the attachment pls