Please help soon! Thanks! Solve for x

Question

asked Dec 28, 2021 131k views

1 Answer

Denis Borovikov · Answer 1 · 2022-01-02T08:38:46+0000

Answer:

$x=30^(\circ)$

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 :)