Answer:
∠ ABC = 45°
Explanation:
The vertices of the triangle Δ ABC are given to be A(7,5), B(4,2) and C(8,2).
Now, we have to find the angle ∠ ABC.
Now, it is clear that the line BC is parallel to the x-axis and the angle ∠ ABC will be given by the slope of AB.
Now, slope of AB will be
Therefore, if AB makes an angle x degree with the x-axis then,
tan x = 1
⇒ x = 45° .
Therefore, the angle ∠ ABC = 45° (Answer)