Question

Find the value of x..
solve properly pls​

Answer 1

Solution -

Observe the figure given above carefully .

I have named the points of the Quadrilateral for sake of convinience .

Now ,

We know that adjacent angles in a linear pair are supplementary i.e, add upto 180°

Now , as the given figure is that of a Quadrilateral , all the lines are straight lines

So ,

[ 1 ] BD is a straight line

So ,

Angle EAC is supplementary to angle EAB

=> Angle EAC is 180° - x

Similarly ,

Angle HCA is supplementary to angle HCD

=> Angle HCA is 160° - x

Similarly ,

Angle HGE is supplementary to angle EGC

=> Angle EGC is 190° - x

Similarly ,

Angle GEA is supplementary to angle FEA

=> Angle EGC is 220 ° - 2x

Now ,

We know that all angles in a Quadrilateral add upto 360 °

Hence ,

180° - x + 160° - x + 190° - x + 220 ° - x = 360°

=> 590° - 3x = 360°

=> 3x = 590° - 360° = 230°

x = 76.66667 °