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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