# Find the 10

Find the value of t if 2tx+5y-6=0 and 5x-4y+8=0 are perpendicular, parallel, what angle does each of the lines make with the x-axis, find the angle between the lines?

Correct result:

t1 =  2
A1 =  -38.6598 °
A2 =  -128.6598 °
t2 =  -3.125
B1 =  51.3402 °
B2 =  -128.6598 °

#### Solution:

${A}_{2}=\frac{18{0}^{\circ }}{\pi }\cdot \mathrm{arctan}\frac{-4}{5}-90=-128.659{8}^{\circ }=-12{8}^{\circ }3{9}^{\mathrm{\prime }}35\mathrm{"}$
${B}_{2}=\frac{18{0}^{\circ }}{\pi }\cdot \mathrm{arctan}\frac{-4}{5}-90=-128.659{8}^{\circ }=-12{8}^{\circ }3{9}^{\mathrm{\prime }}35\mathrm{"}$

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