Question

What value of x would make ADB a line if angle AOL IS 4X AND ANGLE BOC IS 6X+30

Answer 1

an angle has to be total 180° to be a line
so
4x+6x+30=180°
10x+30=180°
10x=180°-30°
10x=150°
x=150°÷10°
x=15°

so, for ADB to be a line, the value of x should be 15°

Answer 2

Given, Angle BOC + Angle AOL = 180

             6x + 30 + 4x = 180

            10x + 30 = 180

            x = 150/10

              = 15.


Hope this helps!