Question

In the given figure , x is:

Please answer fast...​

Answer 1

Answer:

(a) ab/a+b

Step-by-step explanation:

Please mark my answer as brainlisted..!!

Answer 2

Given:

A triangle LMK and a smaller one PNK

To Find:

find the value of x

Solution:

First, we need to find a similarity between the two triangles LMK and PNK

we can see that $\angle K$ is equal in both triangles and $\angle M=\angle N=46^{\circ}$ is also equal in both triangles

Now if two angles are equal in two triangles it is known that 3rd angle will also be equal because all 3 angles of any triangle  $=180^{\circ}$

Therefore using AAA similarity

                                          $\bigtriangleup LMK \approx \bigtriangleup PNK$

now using the similarity property we can find the value of x

$\frac{x}{a} =\frac{c}{b+c}\\x=\frac{ac}{b+c}$

Hence, option (b) ac/(b+c) is correct option