Question

. ∆ABC ~ ∆DEF. If ∠A=35° and ∠E=55°, what is the measure of ∠C?

Answer 1

Answer:

The measure of angle C is $90\°$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

In this problem

m<A=m<D

m<B=m<E

m<C=m<F

we have that

$m$

$m$

so

m<B=m<E

$m$

Remember that

The sum of the interior angles in a triangle must be equal to 180 degrees

$m$

substitute values and solve for m<C

$35\°+55\°+m$

$m$