Triangle xyz has vertices x(–1, –1), y(–2, 1), and z(1, 2). what is the approximate measure of angle z?

Step-by-step explanation:

Notice that angle Z is formed by sides XZ and YZ.

First, we need to find the slopes of each side.

The slope of side XZ is 3/2.

The slope of side YX is 1/3.

Now, we need to recur to the angle-slope formula, which is gonna give us the angle between both sides, that is, angle Z.

Replacing each slope, we have

Then, we solve for

Therefore, the approximate measure of angle Z is 37.9°

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