The measure of MKJ is 80°. After analyzing the diagram, Janelle concludes that is an angle bisector.
2 answers:
Answer:
Option c
Step-by-step explanation:
Measure of angle MKJ = 80°
Since KL is the bisector of ∠MKJ
Therefore, [m∠(MKJ) = m∠(MKL) + m∠(LKJ)]
80° = m∠(MKL) + m∠(LKJ)
∠MKL = (2x+10)° and ∠(LKJ) = (3x-5)° [given in the figure]
Therefore, (2x-10) + (3x-5) = 80
5x + 5 = 80
5x = 80 - 5
5x = 75
x =
x = 15
That means for x = 15 line segment KL is the bisector of ∠MKJ.
Option C will be the answer.
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