Question

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

Answer 1

As $$\bar AB\parallel \bar CD$$

$$(2 x-7)^{\circ}$$ and $$(3 x+13)^{\circ}$$ are supplementary angles

$$\implies (2 x-7)^{\circ}+(3 x+13)^{\circ}=180^{\circ}$$

$$\implies (2 x-7+3 x+13)^{\circ}=180^{\circ}$$

$$\implies (5 x+6)^{\circ}=180^{\circ}$$

$$\implies 5 x=180-6$$

$$\implies x=\dfrac{174}{5}=34.8$$