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Random Interesting Patterns Followed by Square Numbers

In the figure...

Question

In the figure, PQ || MN, the value of x will be

100^o

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93^o

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90^o

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85^o

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Solution

The correct option is B
93^o

Draw OC ||MN|| PQ,

Then ∠ROC = 55^o, ∠SOC = 38^o ... (alternate angles)

Hence x = 55^o + 38^o = 93^o

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Similar questions

∠ Q P S = 100^{o}, ∠ P Q S = 40^{o}, ∠ P S R = 85^{o}

∠ Q R S = 70^{o}

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P Q | | R S, ∠ Q P M = 30^{o}, ∠ S R T = 85^{o}

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In the given figure, $A B | | C D, ∠ A B E = 120^{o}, ∠ E C D = 100^{o}$ and $∠ B E C = x^{o}$ . Find the value of $x$

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