Question

<lmn + <nmo = <omp (90 degrees). find x, then solve for the m<lmn.
m∠lmn = ____ °
○ 15
○ 60

Explanation:

Step1: Set up angle sum equation

$\angle LMN + \angle NMO = 90^\circ$
Substitute the given angle expressions:
$4x + 2x = 90$

Step2: Solve for $x$

Combine like terms and isolate $x$:
$6x = 90$
$x = \frac{90}{6} = 15$

Step3: Calculate $m\angle LMN$

Substitute $x=15$ into $4x$:
$m\angle LMN = 4\times15$

Answer:

60