Question

State and prove following theorems:

(i) V.O.A. (ii) A.I.A. (alt. Interior Angle) and Its

converse.

(iii) Corresponding Angles and Its converse.
Only answer if you know .
Correct answer - BRAINLIEST
Incorrect answer - REPORTED .
And plz ans fast its urgent.
Class 9.
And don't ans rubbish .
Only answer the question given above...​

Answer 1

Answer:

alternate interior angles theorem

Step-by-step explanation:

So, in the figure below, if k∥l , then ∠2≅∠8 and ∠3≅∠5

.

Two parallel lines cut by a transversal n, with angles labeled 1 through 8

Proof.

Since k∥l

, by the Corresponding Angles Postulate ,

∠1≅∠5

.

Therefore, by the definition of congruent angles ,

m∠1=m∠5

.

Since ∠1

and ∠2

form a linear pair , they are supplementary , so

m∠1+m∠2=180°

.

Also, ∠5

and ∠8

are supplementary, so

m∠5+m∠8=180°

.

Substituting m∠1

for m∠5

, we get

m∠1+m∠8=180°

.

Subtracting m∠1

from both sides, we have

m∠8=180°−m∠1           =m∠2

.

Therefore, ∠2≅∠8

.

You can prove that ∠3≅∠5

using same method

Answer 2

Answer:

VOA IS vertical opposite angle