Question

Please help soon! Thanks! Solve for x

Answer 1

Answer:

$x=30^{\circ}$

Step-by-step explanation:

Looking at $\triangle LMN$:

$\angle NML = 180 - (90+45)$ (angle sum of triangle is $180^{\circ}$)

$=45^{\circ}$

Looking at $\triangle KNM$:

$\angle KNM = 180-105$ (angle of straight is $180^{\circ}$)

$=75^{\circ}$

$\angle KNM + \angle NKM + \angle KMN = 180$ (angle sum of triangle is $180^{\circ$)

$75+2x+45 = 180$

$2x+120 = 180$

$2x=60$

$x=30^{\circ}$

Hope this helps :)