3 years ago

What is the measurement of Angle JKL? *

Mathematics

1 answer:

nataly862011 [7]3 years ago

4 0

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.

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