Answer:
Option (1)
Step-by-step explanation:
From the triangles given in the picture,
Since, JK ≅ KL [Given]
JM ≅ ML [Given]
KM ≅ KM [Reflexive property of congruence]
ΔJMK ≅ ΔLMK [SSS property of congruence]
Therefore, ∠JKM ≅ ∠LKM [CPCTC]
(2x + 5) = (3x - 6)
3x - 2x = 5 + 6
x = 11
m∠JKL = m∠JKM + m∠LKM
= (2x + 5) + (3x - 6)
= 5x - 1
= 5(11) - 1
= 54
Option (1) will be the answer.
