Question

In the given figure, the value of x is?

Answer 1

this is a special type of quadiratral.

we know ,
from property of quadrilateral
sum of all angle of quadrilateral = 360°

so, angle RPQ + angle PQS + angle QSR + angle SRP = 360°

a + c + angle QSR + b = 360°

angle QSR = 360°- ( a +b + c)

we also know, from figure ,
angle QSR (inner part) + @angle QSR( outer part) = 360°

360° -( a + b + c) + x = 360°

x = a + b + c