In the given figure, If AB || CD then the measure of x is ..........

28^{\circ}

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18^{\circ}

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10^{\circ}

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15^{\circ}

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Solution

The correct option is B $18^{\circ}$
AB||CD Then $∠ Q L M + 180 - ∠ Q L C = 180 - 110 = 70$
Or $∠ P B A + ∠ B M L$
Then $∠ Q D C = 180 - ∠ B M L = 180 - 88 = 92$
In triangle MQL
$∠ M Q L = 180 - ∠ Q L M - ∠ Q D C = 180 - 70 - 92 = 18^{0}$

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In the given figure, AB || CD. Find the measure of x, y and z.

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