4. Refer to the figure above. Given that KL=4 and ML=4 and m MJL= 40, Find m/KJL.
C. 44
A.
40
D. 46
R
B. 42
Answers
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Given :- JL bisects ∠KJM and KL=4 and ML=4 and m MJL= 40, Find ∠KLJ.
A) 40
B) 46
C) 42
D) 44
Answer :-
In Right ∆JML,
→ ∠LJM = 180° - (90° + 40°) { By angle sum property.)
→ ∠LJM = 50°
so,
→ ∠KJL = 50° { since JL is bisects ∠KJM .}
then, in right ∆JKL,
→ ∠KLJ = 180° - (90° + 50°) { By angle sum property.)
→ ∠KLJ = 180° - 140°
→ ∠KLJ = 40° (Ans.)
Note :- if asked ∠KJL , it should be 50° .
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