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On the basis of the adjacent figure, consider the statements I. ∠1, ∠5, and ∠2, ∠6 are pairs of corresponding angles. II. ∠4 and ∠6 are alternate angles. III. ∠1, ∠2, and ∠8, ∠7 are exterior angles. Which of the following statements are true? 

On the basis of the adjacent figure, consider the statements I. ∠1, ∠5, and ∠2, ∠6 are pairs of corresponding angles. II. ∠4 and ∠6 are alternate angles. III. ∠1, ∠2, and ∠8, ∠7 are exterior angles. Which of the following statements are true?  Correct Answer I, II and III

Given: 

[ alt="F2 Ravi.S 10-12-20 Savita D6" src="//storage.googleapis.com/tb-img/production/20/12/F2_Ravi.S_10-12-20_Savita_D6.png" style="width: 301px; height: 196px;">

Calculation:

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Corresponding angles

⇒ ∠2 = ∠6, ∠1 = ∠5, ∠3 = ∠7, ∠4 = ∠8

Alternate angles

⇒ ∠4 = ∠6, ∠3 = ∠5

Exterior alternate angles

⇒ ∠2 = ∠8, ∠1 = ∠7

Here all three statements satisfy this condition

∴ I, II, and III statements are true.

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