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Triangle L M Q is cut by perpendicular bisector L N. Angle N L Q is 32 degrees and angle L M N is 58 degrees.

Is Triangle MNL ≅ Triangle QNL? Why or why not?


Yes, they are congruent by either ASA or AAS.

Yes, they are both right triangles.

No, Angle M is not congruent to Angle NLQ.

No, there are no congruent sides.

Triangle L M Q is cut by perpendicular bisector L N Angle N L Q is 32 degrees and angle L M N is 58 degreesIs Triangle MNL Triangle QNL Why or why notYes they a class=

Respuesta :

devishri1977

Answer:

Yes

Step-by-step explanation:

ΔMNL ≅ ΔQNL  by ASA or AAS

by ASA

Proof:

∠ LNM = ∠LNQ    =90

LN = LN   {Common}

∠MLN = ∠QLN     {LN bisects ∠ L}

By AAS

∠Q + ∠QLN + ∠LNQ = 180  {Angle sum property of triangle}

∠Q + 32 + 90 = 180

∠Q  + 122 = 180

∠Q = 180 -122 =

∠Q = 58

∠Q = ∠M

∠MNL =∠QNL = 90

LN = LN {common side}

tinyclowns

Yes, MNL ≅ QNL. Hope this helps!!

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