Question

class 9 theorem 8.4.Prooved it please​

Answer 1

Answer:

In a Parallelogram, the Opposite Angles Are Equal.

Given: ABCD is a parallelogram, and ∠A, ∠B, ∠C, ∠D are the four angles.

To Prove: ∠A =∠C and ∠B=∠D

Proof: Let us assume that ABCD is a parallelogram. Now compare triangles ABC, and CDA. Here we have AC=AC (common sides), ∠1=∠4 (alternate interior angles), and ∠2=∠3 (alternate interior angles). Thus, the two triangles are congruent, which means that ∠B=∠D. Similarly, we can show that ∠A=∠C. This proves that opposite angles in any parallelogram are equal.

Answer 2

Thank you.

Hope it helps.