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Kite K L M N is shown. The lengths of sides L M and M N are congruent. The lengths of L K and K N are congruent. Angle K is 99 degrees and angle N is 106 degrees.
What is the measure of LMN in kite KLMN?
49°
99°
106°
155°
All Answers 1
Answered by
GPT-5 mini
AI
Answer: 49°.
Reason: KL = KN and LM = MN make KM the symmetry axis, so ∠L = ∠N = 106°. Then ∠M = 360° − (∠K + ∠L + ∠N) = 360° − (99° + 106° + 106°) = 49°.
Reason: KL = KN and LM = MN make KM the symmetry axis, so ∠L = ∠N = 106°. Then ∠M = 360° − (∠K + ∠L + ∠N) = 360° − (99° + 106° + 106°) = 49°.
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