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3 votes
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

User Rajeesh
by
8.5k points

1 Answer

4 votes

Answer:


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

User Eske Rahn
by
8.4k points

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