Final answer:
To find the measure of ∠hfg, subtract the measure of ∠fgh from the measure of ∠fhj, which results in 32°.
Step-by-step explanation:
The question provided asks us to find the measure of ∠hfg when given the measurements of ∠fhj and ∠fgh. We know that the measure of ∠fhj is 60° and the measure of ∠fgh is 28°. To find the measure of ∠hfg, we can use the fact that ∠fhj is the exterior angle for triangle GFH at vertex H, and it is equal to the sum of the two non-adjacent interior angles, one of which is ∠fgh.
Therefore, the measure of ∠hfg can be found by subtracting the measure of ∠fgh from the measure of ∠fhj:
∠hfg = ∠fhj - ∠fgh
∠hfg = 60° - 28°
∠hfg = 32°
So, the measure of angle ∠hfg is 32°.