Answer:
The correct option is last one  77 degrees.
Therefore the measure angle W is 77 degrees.
Step-by-step explanation:
Given:
Exterior angle = 122°
∠W = (2x-13)°
∠Y= x°
To Find:
∠W = (2x-13)° = ?
Solution:
Exterior Angle Property:
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
Angle W and Angle Y are the interior angles of Exterior angle 122°.
∴ [tex]Exterior\ angle=m\angle W+m\angle Y[/tex]
Substituting the values we get
[tex]122=2x-13+x\\3x=135\\\\x=\dfrac{135}{3}=45\\\\x=45[/tex]
Now Substitute 'x' in angle W we get
[tex]m\angle W=2\times 45 -13=77\°[/tex]
Therefore the measure angle W is 77 degrees.
