Answer:
[tex]x = 19[/tex]
Step-by-step explanation:
Given
[tex]\angle 1 = 4x + 9[/tex]
[tex]\angle 2 = x - 14[/tex]
See attachment
Required
Find x
From the attached image, we have:
[tex]\angle 1 +\angle 2 = 90[/tex]
Because the sum of both angle corresponds to the right angle between n and m
So, we have:
[tex]4x + 9 + x - 14 = 90[/tex]
Collect like terms
[tex]4x + x = 90 - 9 +14[/tex]
[tex]5x = 95[/tex]
Divide by 5
[tex]x = 95/5[/tex]
[tex]x = 19[/tex]
