Visualize the setup of vertical angles. Now, the angle measures allow for this problem to become more difficult. The measurements are 7y-92, y-3, 3x-1, and an unknown angle that is vertical to 3x-1. Are you able to figure out the values of x and y and explain your work? Thank you!

Edit: the y's and x's are opposite from each other...

Edit #2: Take this picture as an example, the measurements are not relative, but the bigger angles are the Y's and the smaller angles are the X's.

OwenT154
Aug 20, 2018

#1**+2 **

Vertical angles are equal soo 7y-92 = y-3 y= 14.833 degrees

All of the angles added should equal 360

7y-92 + y-3 + 3x-1 + 3x-1 = 360

8y - 95 + 6x -2 = 360

8(14.833) - 95 + 6x - 2 = 360

x = 56.38 degrees

ElectricPavlov
Aug 20, 2018

edited by
Guest
Aug 20, 2018

#2**+2 **

Assumig the "y" angles are vertical ...we have that

7y - 92 = y - 3 add 92 to both sides....subtract y from both sides

6y = 89

y = 89/6 = ( 14 + 5/6 )°

So....each of these vertcal angles measures (14 + 5/6 - 3)° = (11 + 5/6)° = (71/6)°

So....the measure of each of the other two vertical angles = [ 360 - 2* (71/6) ] / 2 =

[ 360 - (71/3) ] / 2 = [ 1080 - 71 ] / 6 = (168 + 1/6)° = (1009 / 6 )°

So...

3x - 1 = 1009/6

3x = 1009/6 + 1

3x = 1009/6 + 6/6

3x = 1015 / 6

x = (1015 / 18)° = (56 + 7/18)°

CPhill
Aug 20, 2018