WAEC Further Mathematics 2024 Objective — Question 37

Question 37 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2024 Objective paper, with the correct answer and a full explanation.

37. The line x+y+4=0 makes an angle of theta with the x-axis. Find the value of theta.

A. 315 degCorrect
B. 225 deg
C. 135 deg
D. 45 deg

Explanation

From x+y+4=0, y=-x-4, so m1=-1. The x-axis has gradient m2=0. theta=arctan[(m1-m2)/(1+m1m2)]=arctan(-1)=-45 deg. Taking the positive equivalent angle: theta=360-45=315 degrees.

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