18. 105 = 2x - 11 —> 116 = 2x —> x = 58
Plug in x — > 2(58) - 11 —> 116 - 11 —> 105
105 + 105 = 210
360 which is the sum of all of the angles
360 - 210 = 150
Now divide 150 by 2 because those 2 angles and vertical angles and they should have the same degrees.
150/2 = 75
Angle AEB = 75 degrees
Angle CED = 75 degrees
Angle BEC = 105 degrees
19. (6x + 19) + x = 180 because they are adjacencies angles and make a straight line which equals 180 degrees
7x + 19 = 180 —> 7x = 161 —> x = 23
Now plug in x —> x = 23 for angle BEC
6(23) + 19 —> 138 + 19 —> 157
Angle BEC = 23 Degrees
Angle AEB =105 Degrees
Angle AED = 23 Degrees
Angle CED = 157 Degrees
