In the figure above, if the angle (not shown) where lines $n$ and $p$ intersect is twice as large as the angle (also not shown) where lines $l$ and $m$ intersect, what is the value of $x$ ?

50

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40

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30

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60

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Solution

The correct option is A $50$
The angle where lines $n$ and $p$ intersects is $180 - (90 + x) = 90 - x$ .
The angle where lines $l$ and $m$ intersects is $180 - (180 - 90) - (180 - 110) = 180 - 90 - 70 = 180 - 160 = 20$ .
Given that $90 - x$ is twice of $20$ . which implies $90 - x = 40$ .
Therefore $x = 50$ .

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In the figure above, if the angle (not shown) where lines n and p intersect is twice as large as the angle (also not shown) where lines l and m intersect, what is the value of x?

The correct option is A 50The angle where lines n and p intersects is 180−(90+x)=90−x.The angle where lines l and m intersects is 180−(180−90)−(180−110)=180−90−70=180−160=20.Given that 90−x is twice of 20. which implies 90−x=40.Therefore x=50.

In the figure above, if the angle (not shown) where lines $n$ and $p$ intersect is twice as large as the angle (also not shown) where lines $l$ and $m$ intersect, what is the value of $x$ ?