Question

If triangle ABC is congruent to triangle DEF, M

Answer 1

Answer:

$m\angle C=100\°$

Step-by-step explanation:

The correct question is

If triangle ABC is congruent to triangle DEF, m∠A=50° and m∠E=30°. What is m∠C?

we know that

If two triangles are congruent, then its corresponding sides and its corresponding angles are congruent

so

m∠A≅m∠D

m∠B≅m∠E

m∠C≅m∠F

and

AB≅DE

BC≅EF

AC≅DF

we have

m∠A=50°

m∠E=30°

Remember that

m∠B≅m∠E

so

m∠B=m∠E

m∠B=30°

we know that

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

In the triangle ABC

Find the measure of angle C

$m\angle A+m\angle B+m\angle C=180^o$

substitute the given values

$50\°+30\°+m\angle C=180^o$

$80\°+m\angle C=180^o$

$m\angle C=180^o-80\°$

$m\angle C=100\°$