we know that
If triangle ABC is similar to triangle DEF
then
the corresponding angles are equal
∠A=∠D=[tex]35\°[/tex]
∠B=∠E=[tex]40\°[/tex]
∠C=∠F
The sum of the internal angles of a triangle is equal to [tex]180\°[/tex]
so
In the triangle ABC
∠A+∠B+∠C= [tex]180\°[/tex]
Substitute the values and solve for ∠C
∠C= [tex]180\°-35\°-40\°=105\°[/tex]
therefore
the answer is
The measure of angle C is [tex]105\°[/tex]
