point of intersection is (_, _)

angle of intersection is _ degrees (round-off to 2 decimal places)

asked 6 days ago in Geometry Answers by anonymous

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Point of intersection is when 5x-2=3x+6, 2x=8, x=4, so y=5x-2=18=3x+6. The point is (4,18).

The angle between them θ is given by the triangle rule that the external angle of a triangle is the sum of the two opposite interior angles, so arctan(5)=θ+arctan(3) where 5 and 3 are the slopes of the two lines.

So θ=arctan(5)-arctan(3)=7.12° approx. (The difference between 78.69° and 71.565°)

answered 5 days ago by Rod Top Rated User (537,180 points)

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