+213 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.
+37146 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
+129852 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)°
