Question

The vertices of a triangle are (7,5),B(4,2), and C(8,2). What is m

Answer 1

Answer:

∠ ABC = 45°

Step-by-step 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 $\frac{7 - 4}{5 - 2} = 1$

Therefore, if AB makes an angle x degree with the x-axis then,  

tan x = 1

⇒ x = 45° .

Therefore, the angle ∠ ABC = 45° (Answer)