Mathematics

What value of x  makes the lines $\bar{AB}$ and $\bar{CD}$ parallel to each other?

SOLUTION
As $\bar AB\parallel \bar CD$
$(2 x-7)^{\circ}$ and $(3 x+13)^{\circ}$ are supplementary angles
$\implies (2 x-7)^{\circ}+(3 x+13)^{\circ}=180^{\circ}$
$\implies (2 x-7+3 x+13)^{\circ}=180^{\circ}$
$\implies (5 x+6)^{\circ}=180^{\circ}$
$\implies 5 x=180-6$
$\implies x=\dfrac{174}{5}=34.8$

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Subjective Medium Published on 09th 09, 2020
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