Question

pls solve this ques.

Answer 1

please mark this as brainlist answer please

we know that,
figurs that line on the same line are equal in properties.
so,AE=AD

Answer 2

Answer:

Given:

ABCD is a parallelogram.

To show that AE = AD

We know that when all vertices of a quadrilateral is on circumference of circle then it is known as cyclic quadrilateral.

So, ABCE is a cyclic Quadrilateral.

In parallelogram ABCD,

∠ABC = ∠CDA ( opposite angles of parallelogram are equal )

In Quadrilateral ABCE

∠ABC + ∠AEC = 180° ( Sum of opposite angle of cyclic quadrilateral is 180° )

⇒ ∠AEC = 180° - ∠ABC .................(1)

From figure,

∠ADE + ∠ADC = 180° ( linear pair )

∠ADE = 180° - ∠ADC

∠ADE = 180° - ∠ABC    ( from above ) .....................(2)

So,  from (1) and (2)

∠AEC = ∠ADE

In ΔAED,

∠AED = ∠ADE

⇒ AE = AD ( sides opposite of equal angles are equal )

Hence Proved.