Question

Triangle KNM is shown... What is true about the sides of KNM

Kn=NM
KN=NM=KM
KM=2(NM)
KN=1/2KM

Answer 1

The correct answer is:

Kn=NM

Explanation:

NK intersects KM at a 25° angle.  NM also intersects KM at a 25° angle.  Since they have the same vertex and intersect this line at the same angle, this means the two segments must be equal in length.

Answer 2

In the given triangle, ΔKNM, the two angles are identical and according to the property of a triangle, The correct option among the given options can be concluded as,

KN=NM

Given information:

The triangle KNM ,

Having the angle K and M as $25^o$,

And an angle N as $130^o$,

Now, NK intersects KM at angle $25^o$,

NM also intersects KM at $25^o$

As, they have the same vertex and intersect this line at the same angle,

Which conclude that two segments must be equal in length.

Hence, the KN=NM.

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