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Figures Formed When Parallels Cut

Question 1 ii...

Question

Question 1 (ii)
State the property that is used in each of the following statements:

If $∠ 4 = ∠ 6$ , then a||b.

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Solution

Given a||b then $∠ 4 = ∠ 6$ [Alternate interior angles]
When a transversal cuts two lines such that pairs of alternate interior angles are equal, the lines have to be parallel.

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Similar questions

Q. State the property that is used in each of the following statements

?

a ∥ b,

∠ 1 = ∠ 5

∠ 4 = ∠ 6,

a ∥ b

∠ 4 + ∠ 5 = 180^{\circ},

a ∥ b

Question 1 (iii)
State the property that is used in each of the following statements:

If $∠ 4 + ∠ 5 = 180^{\circ}$ , then a||b.

State the property that is used in each of the following statements?

(i) If a||b, then ∠1 = ∠5

(ii) If ∠4 = ∠6, then a||b

(iii) If ∠4 + ∠5 = 180°, then a||b

Q. State the property that is used in each of the following statements?
If

∠ 4 = ∠ 6

a | | b

Question 1 (i)
State the property that is used in each of the following statements:

If a||b, then $∠ 1 = ∠ 5$ .

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Figures Formed When Parallels Cut

Standard VII Mathematics

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