Given:
- KLMN is a trapezoid
- KL = MN
- LN = √(89)
- LH: altitude
- LM = 3
- KN = 13
Find: m∠LKN
See attached image.

45 degrees

Step-by-step explanation:

If KL = MN, and LM =3 and KN = 13, then HN = 13 - (13-3)/2 = 8

LN =  sqrt(HN^2 + LH^2) -->

LN = sqrt89 sqrt(8^2 + LH^2) -->

89 = 64 + LH ^2 -->

25 = LH^2 -->

LH = 5

Because HN  = 8, HK = 13 - 8 = 5

That makes both legs equal, which makes m∠LKN = 45 degrees

i think its a and d

step-by-step explanation: