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.

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  

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

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