Verified Answer :

All triangles have angles that sum to 180 degrees.
So,
Angle C = 180 - 35 - 40
Angle C = 105 degrees

we know that

If triangle ABC is similar to triangle DEF

then

the corresponding angles are equal

∠A=∠D=\(35\°\)

∠B=∠E=\(40\°\)

∠C=∠F

The sum of the internal angles of a triangle is equal to \(180\°\)

so

In the triangle ABC

∠A+∠B+∠C= \(180\°\)

Substitute the values and solve for ∠C

∠C= \(180\°-35\°-40\°=105\°\)

therefore

the answer is

The measure of angle C is  \(105\°\)