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PLEASE HELP ME I AM SO CONFUSED AND HAVE BEEN STUCK ON THIS QUESTION FOREVERRRR
In the figure below, mLABD = 116°, m2 EBD = 34°, and BE bisects CBD. Find m 2 ABC.

PLEASE HELP ME I AM SO CONFUSED AND HAVE BEEN STUCK ON THIS QUESTION FOREVERRRR In the figure below mLABD 116 m2 EBD 34 and BE bisects CBD Find m 2 ABC class=

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Answer:

measure of JKL is 41°.

Step-by-step explanation:

Hi, I hope all is well.

Since we are provided with an angle that's being bisected with a line, we can conclude that the adjacent angle has the same value of degrees. If NKM is 21°, and KN bisects the whole angle of LKM, we can conclude LKN is also 21°. if the measure of total angle JKM is 83, we subtract the angles present, and get an answer of 41.

83-21-21 = 41°

have an amazing day

Heather

Answer: m∠JKL = 41°

Step-by-step explanation:

      It is given that m∠JKM is 83 degrees, m∠NKM is 21 degrees, KN bisects LKM, and we need to find m∠JKL.

      Since KN bisects ∠LKM, that means that m∠LKN and m∠NKM will be congruent. It is given that m∠NKM is equal to 21 degrees, so m∠LKN will also be 21 degrees using the angle bisector theorem.

Next, we know that JKM is 83 degrees. We can create an equation using the angle addition postulate.

      JKM = JKL + LKM

Substitute known values:

      83° = JKL + (LKM + NKM)

      83° = JKL + (21° + 21°)

Add 21 to 21:

      83° = JKL + (42°)

Subtract 42 from both sides of the equation:

      41° = m∠JKL

      This gives us our answer, m∠JKL is 41 degrees.

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