Question

AD/BD = AE/EC and angle ADE=70° , angle BAC=50° , then what is angle BCA

Answer 1

the answer of this question is sixty (60) degree

Answer 2

Therefore the value of $\angle BAC$ is 60 degree.

Step-by-step explanation:

Given;

$\frac{AD}{BD}=\frac{AE}{EC}$ , $\angle ADE=70$ degree and $\angle BAC=50$

What is $\angle BAC=?$

From the given statement  $\frac{AD}{BD}=\frac{AE}{EC}$ , we can say that $DE$ parallel with $BC$.

Then the $\angle ADE=\angle ABC$$=70$ degree.

Now from the total $\bigtriangleup ABC$;

$\angle ABC+\angle BAC+\angle BCA=180$

Plug the value $\angle ABC=70$ degree and $\angle BAC=50$,

$70+50+\angle BAC=180$

$\angle BAC=180-70-50$

$\angle BAC=60$

So the value of $\angle BAC$ is 60 degree.