Question

find the solution of LMN ​

Answer 1

Answer:

112 degrees

Step-by-step explanation:

XYN is an equilateral triangle, so ∠XNY = 60°

∠XNM = ∠XNY - 26 °

∠XNM = 60 - 26 = 34°

∠MNL = 34°

Since LMN is an isosceles triangle, ∠MLN = ∠MNL = 34°

We know that angles of a triangle add up to 180°

so, ∠LMN + ∠MLN + ∠MNL = 180

∠LMN = 180 - (∠MLN + ∠MNL)

= 180 - (34 + 34)

= 180 - 68

= 112°