Angle U and angle W are vertical angles. If the measure of angle U = 6x + 11 and the measure of angle W = 10x – 9, find the measure of

Question

Angle U and angle W are vertical angles. If the measure of angle U =
6x + 11 and the measure of angle W = 10x – 9, find the measure of angle U.

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bonexptip 3 years 2021-08-19T09:00:57+00:00 2 Answers 32 views 0

Answers ( )

  1. Philomena
    0
    2021-08-19T09:02:24+00:00
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    Answer:

    The measure of angle U is -9.46

    Step-by-step explanation:

    You do not need the information about angle W to measure the angle of U. (So you can ignore all info about W).

    U = 6x +11

    By definition the incline of this line is 6.

    tan(U) = 6/1

    so angle U = arctan(6) = 80.54

    It was given that U is an vertical angle. Since the difference between horizontal and vertical is 90 degrees, you can add 90 degrees.In this case you have an incline of -1/6

    tan(U) = -1/6

    so angle U = arctan(-1/6) = -9.46

    The measure of angle U is -9.46

  2. diemkieu
    0
    2021-08-19T09:02:39+00:00
    Reply

    Answer: Angle U is  41°

    Step-by-step explanation:

    Vertical  angles have the measures so they will equal to each other.

    Set them equal to each other and solve for x.

    6x + 11 = 10x – 9     Add 9 to both sides

         +9           + 9

    6x + 20  = 10x

    -6x            -6x

      20 = 4x      Divide both sides by 4

    x = 5  

     Now input x into the equations and solve for  the measure.

    6(5) + 11  =  30 + 11 = 41  

    10(5)  – 9 =  50 – 9 = 41  

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