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