Question

May I please receive help?

Answer 1

Answer:

HG=7 , which would mean that HI =7 and KL = 6 so MK = 6

Answer 2

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°