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Condition for 2 Lines to Be Parallel

In Fig., l ||...

Question

In Fig., l || m and p || q. Find the values of x, y, z, t.

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Solution

In the given figure, l || m and p || q.
Thus, we have:
$∠ z = 80 °$ (Vertically opposite angles)
$∠ z = ∠ t = 80 °$ (Corresponding angles)
$∠ z = ∠ y = 80 °$ (Corresponding angles)
$∠ x = ∠ y = 80 °$ (Corresponding angles)

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