Respuesta :

15, because angle L and N are equal, 3x=x+10 so x=5, plugging it in, we get that MN is 15
calculista

Answer:

Option A. [tex]MN=15\ units[/tex]

Step-by-step explanation:

we know that

An isosceles triangle has two equal sides and two interior equal angles

The triangle LMN is an isosceles triangle

therefore

[tex]ML=MN[/tex]

substitute the values

[tex]3x=x+10[/tex]

solve for x

[tex]3x-x=10[/tex]

[tex]2x=10[/tex]

[tex]x=10/2=5\ units[/tex]

Find the length of MN

[tex]MN=x+10[/tex] -----> [tex]MN=5+10=15\ units[/tex]

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