Point A has coordinates (-2, 2), point
B has coordinates (0,0) and point C
has coordinates (4,0). Find the value
of angle ABC in radians.
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Answer:
Step-by-step explanation: if we plot the points in graph we get angle B must be obtuse angle.
so, for finding angle B we must have slope of BA and BC which we can find from the given points .
A=(-2,2)=(x1,y1)
B=(0,0)= X2, y2
m1= y2-y1/x2-x1 = -1
similarly B= (0,0) =x1,y1
C= (4,0) = X2,y2
slope / M2 = 0 as per calculation similar to above
now,
tan(Theta) = (m1-m2)/(1+m1m2)
tan(theta) = -1
tan(theta)= - tan(45°)
tan (theta) = tan ( 180-45)
theta = 135°
1°= 2π/360 radian
135° = 3π/4 radian.
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