State the property that is used in each of the following statements?
If $a | | b$ , then $∠ 1 = ∠ 5$

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Solution

We know that from "ALTERNATE INTERIOR ANGLE PROPERTY",

When two lines are parallel, their corresponding angles are equal.

when $a ∥ b$

$∴ ∠ 1 = ∠ 5$

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∠ 4 = ∠ 5 = 180^{o}

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∠ 4 = ∠ 6

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

If a||b, then $∠ 1 = ∠ 5$ .

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

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