Answer:
[tex]x = 17[/tex]
Step-by-step explanation:
Given
[tex]\angle 1 = 4x +3[/tex]
[tex]\angle 2= 19[/tex]
See attachment
Required
Find x
AB and CD being perpendicular, implies that:
[tex]\angle 1 + \angle 2 = 90[/tex]
So, we have:
[tex]4x + 3 + 19 = 90[/tex]
[tex]4x + 22 = 90[/tex]
Collect like terms
[tex]4x =- 22 + 90[/tex]
[tex]4x =68[/tex]
Solve for x
[tex]x = 68/4[/tex]
[tex]x = 17[/tex]
