SOLUTION: The lines y = 2x + 4 and x + y = 13 make angles of a° and b° with the positive direction of the x-axis, as shown in the diagram. a)Find the values of a and b. BHence find th

Algebra ->  Graphs -> SOLUTION: The lines y = 2x + 4 and x + y = 13 make angles of a° and b° with the positive direction of the x-axis, as shown in the diagram. a)Find the values of a and b. BHence find th      Log On


   

Question 1169958: The lines y = 2x + 4 and x + y =
13 make angles of a° and b° with
the positive direction of the x-axis,
as shown in the diagram.
a)Find the values of a and b.
BHence find the acute angle
between the two given lines.
there is no points on graph given at all only equation of 2 lines crossing over each other and its asking you to find the angles touching the x axis
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
y=2x+4 and y=-x+13
graph%28300%2C300%2C-10%2C15%2C-10%2C20%2C2x%2B4%2C-x%2B13%29
The angle 2x makes with the x-axis is where the tangent of the angle=2 and that is at 63.43 degrees
the angle -x makes with the x-axis is 45 degrees facing to the left but 135 degrees with the positive direction.
That makes the triangle formed by the x-axis and the two lines as 45 degrees, 63.43 degrees, and the third angle is 71.57 degrees.