Answer:
∠G
Step-by-step explanation:
The tangent of an angle is given by the following trigonometric ratio;
[tex]tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length}[/tex]
From the question, we have;
tan ∠K = 6/8
ΔGIH is similar to ΔKJL
By observation of the length, we have;
Segment HI and segment JL are corresponding segments
Segment KL and segment HG are corresponding segments
∴ ∠K and ∠G are corresponding angles
∴ tan∠G = tan∠K = 6/8
The angle whose tangent is 6/8 is ∠G
