Question

ABCD is a parallelogram in which AB parallel to DC and AB parallel to BC find angle b,c, and d​ answer urgent with process​

Answer 1

Answer:

ABIIDC ADIIBC

ABCD is a llgm

=> <A=<Clopp., angles in a llgm) => <C=50

<B=180-<C(coordinate angles are supplementary)

<B=130

<B=<D

<D=130

Explanation:

Hope it will help

Answer 2

In quadrilateral ABCD, we have AB=CD and AD=BC

⇒ Now, join segment AC.

⇒ In △ABC and △ACD, we have

⇒ AB = CD [Given]

⇒ AD = BC [Given]

⇒ AC = AC [Common side]

So, by SSS criteria,

⇒ △ABC≅△ACD

∴ ∠DAC = ∠BCA [By CPCT]

∴ CD∥AB [∵ Alternate angles are equal] ---- ( 1 )

⇒ ∠DCA=∠CAB [By CPCT]

∴ AD∥BC [∵ Alternate angles are equal] --- ( 2 )

From ( 1 ) and ( 2 ) we get that opposite sides of quadrilateral are parallel.

∴ ABCD is a parallelogram.