Answer:
x=90 degrees
y=142 degrees
z=128 degrees
Step-by-step explanation:
Answer:
X = 95 degrees
Y = 147 degrees
Z = 128 degrees
Step-by-step explanation:
Angle z can be found as : [tex]180-52[/tex] = 128 degrees. This is because the sum of the internal angle and the external angle on the same vertex is 180°
The opposite of angle X can be found as [tex]180-(45+50)[/tex] = 85 degrees.
Now angle X lies on the same line. We can say X is exterior angles to the opposite interior angle of bigger triangle.
Angle X = [tex]180-85[/tex] = 95 degrees
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
Angle Y = [tex]52+95[/tex] = 147 degrees.
