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

we know that

If triangle ABC is similar to triangle DEF

then

the corresponding angles are equal

∠A=∠D=

∠B=∠E=

∠C=∠F

The sum of the internal angles of a triangle is equal to

so

In the triangle ABC

∠A+∠B+∠C=

Substitute the values and solve for ∠C

∠C=

therefore

the answer is

The measure of angle C is  

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

triangle abc is reflected on the line x=-6.5 then reflected again on the x axis

step-by-step explanation: