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Lines AB and CD are perpendicular to each other. If 1 measures (4x + 3), and 2 measures 19", what
the value of x?
A. X = 71
B. x = 17
C. x = 109
D. x = 6

Respuesta :

MrRoyal

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]

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