Mathematics

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

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
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 86

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