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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Solution

Given a||b then $∠ 1 = ∠ 5$ [Corresponding angles] If two parallel lines are cut by a transversal, each pair of corresponding angles are equal in measure.

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

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

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

If $∠ 4 = ∠ 6$ , then a||b.

a | | b

∠ 1 = ∠ 5

\frac{- 4}{5} \times 1 = 1 \times \frac{- 4}{5}

\frac{- 4}{5} \times 1 = 1 \times \frac{- 4}{5}

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