Answer:
x= 18
y =45
Step-by-step explanation:
first these two angles are supplementary and add up to 180 degrees:
(6x+7) + (4x-7) = 180
find x:
10x = 180
x = 18
substitute x = 18 for the angle (6x+7)
now we know what 6x +7 =
6 (18) + 7 = 115
since angle 3y-20 = 115, solve for y
3y = 135
y = 45
Answer:
x = 18
y = 45
Step-by-step explanation:
1. First off, we know that the angle (4x-7) degrees and (6x +7) are supplementary angles because of the corresponding angles theorem. So we do: (4x-7) + (6x+7) = 180 which should get you x=18.
2. Now that you know the value of x, finding y should be pretty easy. Plug in x for (6x + 7) and you should get 115 degrees.
3. We know that the angle with (6x +7) measurement is a vertical angle to (3y-20), so we can do 3y -20 = 115.
4. find the value of y, which should be 45
