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Question

In the given figure, BD bisects ∠ABC and BD is perpendicular to AC. Find, x + y. 


  1. 12
  2. 14
  3. 10
  4. 11


Solution

The correct option is C 10
In ABD and CBD,
(i) ABD=CBD --- (given)
(ii) BD=BD --- (Common)
(iii) BDA=BDC=90 --- (given)

ABDCBD (ASA postulation)

AD=DC --- (CPCT)
5x3=2x+6
3x=9
x=3

and BA=BC --- (CPCT)
2y1=13
2y=14
y=7
x+y=3+7=10

 

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