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Standard VIII

Mathematics

Properties of Angles Formed by Two Parallel Lines and a Transversal

In the figure...

Question

In the figure, $L_{1}$ and $L_{2}$ are parallel lines. The correct relationship between angles $y$ and $x$ is:

y = x

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x + y = 180^{o}

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x + y = 360^{o}

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y = x + 90^{o}

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y - x = 180^{o}

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Solution

The correct option is B $x + y = 180^{o}$
The angle supplementary to angle $x$ on the right side of $L_{3}$ is equal to $y$ since they are corresponding angles.
Therefore, $x + y = 180^{0}$ .
Hence, option B is correct.

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Let $L_{1}$ be a straight line passing through the origin and $L_{2}$ be the straight line x + y = 1. If the intercepts made by

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In the figure, L1 and L2 are parallel lines. The correct relationship between angles y and x is:

The correct option is B x+y=180oThe angle supplementary to angle x on the right side of L3 is equal to y since they are corresponding angles. Therefore, x+y=1800.Hence, option B is correct.

In the figure, $L_{1}$ and $L_{2}$ are parallel lines. The correct relationship between angles $y$ and $x$ is:

The correct option is B $x + y = 180^{o}$
The angle supplementary to angle $x$ on the right side of $L_{3}$ is equal to $y$ since they are corresponding angles.
Therefore, $x + y = 180^{0}$ .
Hence, option B is correct.