Question

Triangles A B C and L M N are shown. Angle B A C is 58 degrees. Angle M L N is 78 degrees. Sides A B and L M are congruent. Sides A C and L N are congruent.
Given AC = LN and BA = ML, which statement must be true?
BC < MN
BC > MN
BC = MN
BA = LN

Answer 1

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The correct option is A, BC < MN.

What is a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

As per the given conditions, the angle that will be opposite to ∠A is BC and  ∠L is MN.

Now since the measure of ∠L is more than the measure of ∠A, therefore, the side MN will be greater than BC.

Hence, the correct option is A, BC < MN.

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