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Intersecting Lines

In the given ...

Question

In the given figure, for what value of 'x' will AB || CD?

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Solution

AB || CD if $∠ A F G = ∠ F G D$ (alternate angles test)

$∴ 3 x = 87^{\circ}$

$\Rightarrow x = 29^{\circ}$ . [1 Mark]

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