Please solve these questions for me. i am having a difficult time understanding.

1) AD=BC(corresponding parts of congruent triangles)

2)The value of x and y are 65 ° and 77.5° respectively

Step-by-step explanation:

1)

Given : AD||BC

AC bisects BD

So, AE=EC and BE=ED

We need to prove AD = BC

In ΔAED and ΔBEC

AE=EC (Given)

( Vertically opposite angles)

BE=ED (Given)

So, ΔAED ≅ ΔBEC (By SAS)

So, AD=BC(corresponding parts of congruent triangles)

Hence Proved

2)

Refer the attached figure

In ΔDBC

BC=DC (Given)

So,(Opposite angles of equal sides are equal)

So,

So, (Angle sum property)

x+x+50=180

2x+50=180

2x=130

x=65

So,

Now,

So,

In ΔABD

AB = BD (Given)

So,(Opposite angles of equal sides are equal)

So,

So,(Angle Sum property)

y+y+25=180

2y=180-25

2y=155

y=77.5

So, The value of x and y are 65 ° and 77.5° respectively

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step-by-step explanation: