Answer:
[tex] \angle[/tex] WXY = 142°
Step-by-step explanation:
The figure above is a triangle
To find [tex] \angle[/tex]WXY, we find the value of x by using one angle property of triangles which is ,
the sum of any two interior angles in the triangle is equal to an exterior angle of the triangle.
To find x , add up [tex] \angle[/tex] XYZ and [tex] \angle[/tex]YZX and equate it to [tex] \angle[/tex] WXY
We have
[tex] \angle[/tex] WXY = [tex] \angle[/tex] XYZ + [tex] \angle[/tex] YZX
2x - 2 = x + 70
2x - x = 70 + 2
x = 72°
From the question
m[tex] \angle[/tex] WXY = (2x - 2)°
m[tex] \angle[/tex] WXY = 2(72) - 2 = 144 - 2
We have the final answer as
[tex] \angle[/tex] WXY = 142°
Hope this helps you
