Question

in the given fig find the value of x​

Answer 1

Answer:

The answer is $x=\dfrac{ac}{b+c}$

Step-by-step explanation:

Here angle M and angle N are $50^\circ$ $\Rightarrow$ LM $||$ PN

Thus angle L $=$ angle P

Angle K is common to both triangles LMK and PNK

So $\triangle$LMK $\sim$ $\triangle$PNK

$\Rightarrow \dfrac{\text{LM}}{\text{PN}}=\dfrac{\text{MK}}{\text{NK}}\\\Rightarrow \dfrac{a}{x}=\dfrac{b+c}{c}\\\\\Rightarrow x=\dfrac{ac}{b+c}$  

Answer 2

Answer:

x = c*a/(b+c)

Step-by-step explanation:

Triangle PNK and LMK are similar. Similar because Angle PNK and Angle LMK are same and Point K is common.

So PN/NK = LM/MK

x/c = a/(b+c)

x = c*a/(b+c)