Mathematics

In the given figure, $$x$$ and $$y$$ are parallel lines and $$t$$ is the transversal. Then which are pair of Vertically opposite angles.


ANSWER

1 & 3

9 & 10

2 & 4


SOLUTION
Let $$\angle 1=3x$$ & $$\angle 2=2x$$
$$\angle 1$$ & $$\angle 2$$ are linear pair of angle
Now, $$\angle 1$$ & $$\angle 2$$
$$\Rightarrow 3x+2x=180$$
$$5x=180$$
$$\Rightarrow x=36$$
$$\angle 1=3\times 36 =108^o$$
$$\angle 2=2\times 36=82^o$$
We know, vertically opposite angles are equal.
$$\angle 1=\angle 3=108^o$$
$$\angle 2=\angle 4=72^o$$
$$\angle 9=\angle 11=108^o$$
$$\angle 8=\angle 10=72^o$$
We also know, corresponding angles are equal.
$$\angle 1=\angle 8=108^o$$
$$\angle 2=\angle 9=72^o$$
Options A and D are correct
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Multiple Correct Medium Published on 09th 09, 2020
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