Answer:
[tex] m\angle D = 40\degree[/tex]
Step-by-step explanation:
[tex] m\angle DEC = 25\degree [/tex]
(Vertical angles)
[tex] m\angle DCE = 180\degree - 65\degree [/tex]
(Linear pair angles)
[tex] m\angle DCE = 115\degree [/tex]
In [tex] \triangle DCE[/tex]
By interior angle sum postulate of a triangle
[tex] m\angle D = 180\degree-(115\degree + 25\degree) [/tex]
[tex] m\angle D = 180\degree-140\degree[/tex]
[tex] m\angle D = 40\degree[/tex]
