SOLUTION: an angle is 45 degree less thsn two times of it's supplement, then the greater angle is__________

SOLUTION: an angle is 45 degree less thsn two times of it's supplement, then the greater angle is___________ .

Question 696712: an angle is 45 degree less thsn two times of it's supplement, then the greater angle is____________.
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!
Two angles are supplements when they add up to 180
Equation 1:
Equation 2:
-----------------------------
Substitute (2B - 45) into equation 1 for A
Equation 1:

Combine like terms

Add 45 to both sides

Divide both sides by 3

Now plug 75 into equation 2 for B
Equation 2:

The greater angle is 105 degrees

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