Engineering Board Exam Reviewer · Angle Between Two Lines · medium

Find the acute angle between the lines 2x-y+1=0 and x+3y-2=0, in degrees.

  1. 8.13°
  2. 81.87°
  3. 45°
  4. 66.8°

Answer

B. 81.87°

Solution

The slopes are 2 and - 13. =≤ft|2-(-1/3)/1+2(-1/3) |=7/3/1/3=7 =81.87°.

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