Answer:
Angle A is 46. Angle B is 134
Step-by-step explanation:
If two angles are supplementary, they equal 180 degrees. So in order to find the measure of each angle, you need to find out what x is, by setting both equations equal to 180.
So it would look a little like this:
6x-8+9x+53=180.
Group like terms together
15x+45=180
get x alone by subtracting 45 on both sides
15x=135
and divide by 15 on both sides
x=9
So now we figured out that x = 9. Now plug that number in for both equations to find the angles of both
6(9)-8
54-8
angle A is 46
9(9)+53
81+53
angle B is 134
And you can check your work by seeing if both angles actually add up to 180, by definition being supplementary
134+46.. is 180
So there you have it