Compute the missing angles in the given figure.

x=52°

Step-by-step explanation:

∠LNP+142°=180°

∠LNP=180°-142°  

         = 38°

∠LMN=x

x+90°+38°=180°

x+128°=180°

x=180°-128°

 =52°

 x = 52°

Step-by-step explanation:

In the given figure,

142° is an exterior angle of triangle LMN

∠L = 90°

∠M = x

Exterior angle theorem: Sum of two opposite interior angle of a triangle is equal to exterior angle of triangle.

Therefore,

∠LMN + ∠MLN =  ∠MNP

          x  +  90° = 142°

                     x = 142° - 90°

                     x = 52°

Hence, The missing angle is 52°

43

step-by-step explanation:

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.