Question

Find the value of x:

Answer 1

Explanation:

angle (JIF) = 2x°

so angle (FIG) = (180 - 2x)°

Also , IK || EH

So , angle KIG = angle IGF = x°

angle (EFI) = 3x°

angle (IFG) = (180 - 3x)°

In triangle IFG ,

angle IGF + angle IFG + angle FIG = 180°

=> x + 180 - 3x + 180 - 2x = 180

=> 360 - 4x = 180

=> 4x = 360 - 180 = 180

=> x = 180 / 4 = 45°