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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

Answer:

∠ A = 46° , ∠ B = 134°

Step-by-step explanation:

Supplementary angles sum to 180° , then

6x - 8 + 9x + 53 = 180 , that is

15x + 45 = 180 ( subtract 45 from both sides )

15x = 135 ( divide both sides by 15 )

x = 9

Then

∠ A = 6x - 8 = 6(9) - 8 = 54 - 8 = 46°

∠ B = 9x + 53 = 9(9) + 53 = 81 + 53 = 134°

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