Answer:)Angle FIH and GIE after keeping angle EIH at 140° is 40° while ∠FIG will is the opposite angle of ∠EIH so it will remain the same as 140°.
Step-by-step explanation:We need to intersect both lines and make ∠EIH > 135°
So,Let's keep ∠EIH = 140°
Then,∠FIG = 140° (opposite angle)∠FIH = ∠GIE = x (opposite angle)
Now,The Sum of all angles around I will be 360 degrees.
So,140 + x + 140 + x = 360 ,2x + 280 = 360, 2x = 80 ⇒ x = 40°.