Question

△ABC is similar to △DEF by the ​ AA Similarity Postulate ​ .

Answer 1

AA Similarity Postulate means Angle Angle Congruency which means that <A and <D are both 55° and <B and <E are both 60°

So, to solve for C, since a triangle has a total of 180° you subtract 180-55-60 to get C.

m<C = 65°

Hope this helped :)

Answer 2

Answer:

$m$

Step-by-step explanation:

we know that

If two triangles are similar, then its corresponding angles are congruent

so

m<A=m<D

m<C=m<F

m<B=m<E

step 1

Find the measure angle B

we have

$m$

so

$m$ ------> by corresponding angles

step 2

Find the measure angle C

we know that

$m$ ----> the sum of the interior angles in a triangle must be equal to $180\°$

we have

$m$

$m$

substitute

$55\°+60\°+m$

$m$