Question

Given that LON is a right angle, find the measure of x.​

Answer 1

Answer:

$x=30\°$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m∠LOM+m∠MON=m∠LON ----> by angle addition postulate

we have

m∠LOM=2x°

m∠MON=x°

m∠LON=90° ----> is a right angle

substitute the values

$2x+x=90$

solve for x

$3x=90$

$x=30\°$