Answer:
Step-by-step explanation:
The value of the angle ∠FGI will be equal to 54 degrees.
What are supplementary angles?
The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet. The supplementary angles are the angles having the sum of 180 degrees.
Given that there are two parallel lines FH and CE. The value of the angle ∠HGI is 126°. The value of the angle ∠FGI will be calculated as:-
Use the supplementary property and calculate the value of ∠FGI.
∠FGI + ∠HGI = 180
∠FGI + 126 = 180
∠FGI = 180 - 126
∠FGI = 54
Therefore, the value of the angle ∠FGI will be equal to 54 degrees.
To know more about supplementary angles follow