Triangle xyz has vertices x(–1, –1), y(–2, 1), and z(1, 2). what is the approximate measure of angle z? 37.2° 61.5° 78.5° 81.3°

Option A -37.2°

Step-by-step explanation:

Given : Δ XYZ has vertices , and

To find: Measure of angle Z (let )

Solution :

Since we know the vertices we find the slope of line by

Slope formula :

Let be the slope between X and Z

Now, let be the slope between Y and Z

Now, to find angle we apply angle-slope formula

Angle-slope formula →

Putting values of slopes in the formula,

Refer the attached graph

Therefore, ∠Z= 37.2° option A

the answer is 99.

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