In triangle LMN, angle L = 118° and side LM = LN. Find the measure of angle N.

Question

Accepted Answer

Given: In triangle LMN, angle L = 118° and LM = LN. Since LM = LN, triangle LMN is isosceles with sides LM and LN equal, so angles opposite these sides are equal. The angle opposite LM is angle N, and the angle opposite LN is angle M. Thus, angle M = angle N. Let angle N = angle M = x. The sum of angles in a triangle is 180°. So, 118° + x + x = 180° ⇒ 2x = 62° ⇒ x = 31°. Therefore, angle N = 31°.

Answer

Answer

Answer