Question

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

Answer 1

`x=30\°`

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\°`