KM bisects ÐJKL, mÐJKM = (2x + 5)°, and mÐMKL = (5x – 10)°. Find mÐJKM.

15 °

Step-by-step explanation:

An angular bisector can divide the angle in to 2 congruent angles.

According to the question, the angular bisector KM divides J K L angle into 2 congruent angles.

So,

< J K M = < M K L

2x + 5  = 5x - 10

Now let us find the value of x.

2x + 5  = 5x - 10

2x + 5 + 10 = 5x

15 = 5x - 2x

15 = 3x

You can divide both sides by 3.

5 = x

According to the question, we are asked to find the < J K M.

So,

< J K M = 2x + 5

            = 2 × 5 + 5

            = 10 + 5

            = 15

Hope this helps :-)

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step-by-step explanation: