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sergejj [24]
11 months ago
14

If line KM bisects angle JKL, angle JKL = 92 degrees, and angle MKL = (5x+1) degrees, find the value of

Mathematics
1 answer:
kherson [118]11 months ago
6 0

The value of the variable x is found to be x = 9.

<h3>What is termed as angle bisector?</h3>
  • In geometry, an angle bisector is a line that divides an angle into two equal angles.
  • A bisector is something that divides a shape or thing into two equal portions.
  • An angle bisector is a ray that divides an angle into two equal components of the same measurement.

A bisected angle divides the two sides in equals.

JKM = LKM

As, both are equal.

Then, each of these angles are 1/2 the angle JKL.

1/2 JKL = MKL

1/2 ×( 92) = 5x + 1

Further simplifying;

46 = 5x+1

Subtract 1 from each side

46-1 = 5x

45 = 5x

Divide each side by 5

45/5 = 5x/5

x = 9

Thus, the value of the unknown variable is found to be x = 9 units.

To know more about the angle bisector, here

brainly.com/question/14399747

#SPJ9

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