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Sergio [31]
2 years ago
15

Examine the figure below.

Mathematics
1 answer:
goldfiish [28.3K]2 years ago
5 0

The correct angle measures are m/JKL = 37° and mZKLM = 126°. Option A and C

<h3>How to determine the angle</h3>

Given that;

∠ K =  (4x + 5)°

∠ J = 6x + 1

∠ L = 8x + 30 = 180 ( angles on a straight line)

Note that the sum of the angles of a triangle is 180°

∠ K + ∠ J  + ∠ L = 180

6x + 1 + 4x + 5 + 8x + 30 = 180

collect like terms

18x = 180 - 36

18x = 144

Make 'x' the subject

x = 144/ 18

x = 8

Substitute the values

∠ JKL = (4x + 5)° = 4(8) + 5 = 37°

∠KJ L  = (6x + 1)° = (6(8) + 1) = 49°

∠ KLM = 8x + 30 = 8(8) + 30 = 94°

∠ JLK = 8x + 30 = 180 = 180 - 94 = 86°

Thus, the correct angle measures are m/JKL = 37° and mZKLM = 126°. Option A and C

Learn more about a triangle here:

brainly.com/question/7620723

#SPJ1

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