Question

ᴘʀᴏᴠᴇ- ɪɴ ᴀ ᴘᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ, ᴏᴘᴘᴏsɪᴛᴇ ᴀɴɢʟᴇs ᴀʀᴇ ᴇϙᴜᴀʟ.
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Answer 1

☆Question:

Prove that in a parallelogram, opposite angles are equal.

☆Answer:

Given:A quadrilateral ABCD in which AB=CD and BC=DA.

To prove:ABCD is a parallelogram.

Construction:Join AC.

Proof:

In ∆s ABC and CAD,we have

AC=AC. [Common side]

CB=AD. [Given]

AB=CD. [Given]

So,by SSS criterion of congruence,we obtain

∆ACB≅∆CAD

⇒ ∠CAB=∠ACD [∵Corresponding parts of Congruent triangles are equal] ....(i)

and, ∠ACB=CAD

Now, line AC intersects AB and DC at A and C, such that

∠CAB=∠ACD [from(i)]

i.e., alternate interior angles are equal.

∴AB||BC. ....(ii)

Similarly, line AC intersects BC and AD at C and A, such that

∠ACB=CAD. [from(i)]

i.e., alternate interior angles are equal.

∴BC||AD. ....(iii)

From (ii) and (iii),we have

AB||DC and BC||AD

Hence,ABCD is a parallelogram.

Answer 2

Answer:

Tum hoga pagal inshan kyuki ye sab me ye nhi Karthi aap Faltu bata Kartha ho

ok

Explanation:

And You are also mad OK pagal