Question

in triangle abc if angle abc is equal to angle BAC + angle ACB what is the value of angle abc​

Answer 1

Answer:

90

Step-by-step explanation:

we know,

angle bac + angle acb + angle abc = 180

angle abc + angle abc = 180 ( Given : abc is equal to angle BAC + angle ACB )

2 angle abc = 180

therefore , angle abc = 180/2 = 90

Answer 2

Answer:

$\angle ABC =90^{o}$

Step-by-step explanation:

Given angles in a triangle ABC,

                  $\angle ABC =\angle BAC+\angle ACB$  

Since sum of all the 3 angles in a triangle is 180°,

                 $\angle ABC +\angle BAC+\angle ACB=180^{o}$

Using the given condition,

 $\angle BAC+\angle ACB +\angle BAC+\angle ACB=180^{o}$

                            $2\angle BAC+2\angle ACB =180^{o}$

                          $2(\angle BAC+\angle ACB) =180^{o}$

                               $\angle BAC+\angle ACB =\frac{180^{o}}{2} =90^{o}$

Therefore, $\angle ABC =90^{o}$