Question

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

Answer 1

`x = 17`

Explanation:

Given

`\angle 1 = 4x +3`

`\angle 2= 19`

See attachment

Required

Find x

AB and CD being perpendicular, implies that:

`\angle 1 + \angle 2 = 90`

So, we have:

`4x + 3 + 19 = 90`

`4x + 22 = 90`

Collect like terms

`4x =- 22 + 90`

`4x =68`

Solve for x

`x = 68/4`

`x = 17`