Question

Triangle ABC is similar to triangle DEF. If angle A measures 35 degrees and angle E measures 40 degrees, what is the measure of angle C? 35 40 75 105

Answer 1

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

Answer 2

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\°`