What is the value of w

Answer:
[tex]w=40^o[/tex]
Step-by-step explanation:
we know that
The Triangle External Angle Theorem states that: An exterior angle of a triangle is equal to the sum of the opposite interior angles.
In this problem
[tex]w+w=w+40^o[/tex]
solve for w
[tex]2w=w+40^o[/tex]
[tex]2w-w=40^o[/tex]
[tex]w=40^o[/tex]