Start with plotting the points in the coordinate plane, and then use the inverse tangent to find the measure of the appropriate angle.
m∠ K≈ 54.5^(∘)
Practice makes perfect
Let's begin with plotting the given points in the coordinate plane and connecting them to form △ JKL. Notice that ∠ J is a right angle.
We are asked to find the measure of ∠ K. To do this, we can use the fact that the tangent of an angle is a ratio of the length of leg opposite to this angle to the length of leg adjacent to this angle.
tan K=LJ/KJ
Notice that we can read the lengths of these sides directly from the graph as they are horizontal and vertical segments.
Let's substitute these values into our equation.
tan K=7/5
Next, we will rewrite this equation using the inverse tangent.
tan K=7/5 ⇓
m∠ K=tan ^(-1)7/5
Now we will solve the above equation.
