Answer:
HI = 7 and m ∠K = 100°
Step-by-step explanation:
In Δ GHI are angles are equal and this is an equiangular triangle. In an equiangular triangle the sides are = and the angles are equal.
So HI = 7
In Δ KLJ, two sides are equal. If two sides of a triangle are equal then the angles opposite those sides are equal.
Now you know that m ∠L = 40°. In ΔKLJ, you have the following angles measure: 40° + 40° + m ∠ K = 180°; 80° + m ∠K = 180°; m ∠K = 100°
