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3 months ago

PLEASE HELP!! WILL MARK BRAINLIEST AND THANK YOU!!!

Mathematics

2 answers:

Svet_ta [12.7K]3 months ago

6 0

Answer:

x = 9

Step-by-step solution:

Given: KM bisects angle ∠JKL, with m∠JKL = 92°, and m∠MKL = (5x + 1)°.

Since KM bisects ∠JKL, it splits it into two equal angles.

So, m∠JKM = m∠MKL = (5x + 1).

Thus, m∠JKL = m∠JKM + m∠MKL = 2*(5x + 1).

Substituting the known value gives:

92° = 2*(5x + 1)

Dividing both sides by 2:

46 = 5x + 1

Subtract 1 from both sides:

45 = 5x

Divide both sides by 5:

x = 9

Therefore, the value of x is 9.

lawyer [12.5K]3 months ago

5 0

Answer:

x = 9

Solution explanation:

The key insight is understanding that angles JKM and MKL are congruent, which implies that MKL equals half of JKL. Using this fact, we can proceed:

Since MKL = JKL/2, substituting gives:

5x + 1 = 46

Therefore:

5x = 45

Dividing both sides by 5, we find:

x = 9

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