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Q.

In the given figure, x equals:


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a

aba+c

b

aca+b

c

acb+c

d

abb+c 

answer is C.

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Detailed Solution

Concept: We will use the concept of similarity of two triangles. We can see that LM is parallel to ON so the triangle KLM and the triangle KON are similar and then we will use the properties that corresponding sides of similar triangles are in proportion.
Question ImageIn s LMK and ONK
KML=ONK=46°
K=K (have common angles)
LMK is similar to ONK
LMK ONK
KMKN=LMON
=b+cc
=ax
x=acb+c
Hence, correct option is 3
 
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