Mathematics

Indicate which pairs of angles are:Vertically opposite angles.

1 & 4

SOLUTION
Considering $\angle 1=x$ & $\angle 5=5x$
$x+5x=180^o$
$\Rightarrow x=30^o$
$\angle 1=x=30^o$
$\angle 5=5x=150^o$
Being vertically opposite angles,
$\angle 5=\angle 3+\angle 2$
$150^o=\angle 3+\angle 2$
$90^o+60^o=150^o$
$\angle 3=90^o$
$\angle 2=60^o$
$\angle 4+\angle 3+\angle 2=180^o$
$\angle 4=180-(\angle 3+\angle 2)$
$=180-(90+60)$
$=30^o$
$\angle 1=\angle y=30^o$
$\therefore 1$ & $4$ are vertically opposite.

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Single Correct Medium Published on 09th 09, 2020
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