Question

From the following figure given, the value of x in terms of a, b and c is $x=b+a-c$

• A. True
• B. False

Answer 1

The correct option is B False

Join BD
In $△BDC$,
$\angle CDB+\angle BCD+\angle CBD=180$ (Sum of angles of triangle)
$\angle CDB+\angle CBD+b=180$
$\angle CDB+\angle CBD=180-b$
Now in $△ABD$
$\angle BAD+\angle ADB+\angle ABD=180$ (Sum of angles of triangle)
$\angle BAD+\angle ADC+\angle CDB+\angle ABC+\angle CBD=180$
$a+x+\angle CDB+\angle CBD+c=180$
$a+x+180-b+c=180$
$x=b-a-c$