Final answer:
To find the measure of angle HFG, we can use the fact that the sum of the angles in a triangle is 180 degrees. We know that angle FGH is (2 1)° and angle HGI is (6x - 6)°.
Step-by-step explanation:
To find the measure of angle HFG, we can use the fact that the sum of the angles in a triangle is 180 degrees. We know that angle FGH is (2 1)° and angle HGI is (6x - 6)°. Let's denote angle HFG as y. Then, we have the equation:
(2 1)° + (6x - 6)° + y = 180°
Simplifying, we get:
27 + 6x + y = 180
To find the value of y, we need to know the value of x. If you have any additional information or equations given in your question, please provide them so that we can continue solving.