# SOLUTION: if a ray stands on a line and a angle is greater than b angle by one third of a right angle,find the value of a and b

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 Click here to see ALL problems on Points-lines-and-rays Question 29477: if a ray stands on a line and a angle is greater than b angle by one third of a right angle,find the value of a and bAnswer by sdmmadam@yahoo.com(530)   (Show Source): You can put this solution on YOUR website!if a ray stands on a line and a angle is greater than b angle by one third of a right angle,find the value of a and b We know that if a straight line stands upon another, the sum of the adjacent angles so formed is equal to 180 degrees Here the adjacent angles are given to be A and B Therefore (A+B)= 180 ----(1) And now by data A is greater than B by (1/3)of a right angle. One right angle =90 degrees (1/3) of a right angle = (1/3)X(90) = 30 degrees Therefore A>B by 30 degrees. That is A = B+30 ----(2) Putting (2) in (1),that is substituting for A in (1), we have (B+30) + B = 180 (B+B)= 180-30 2B = 150 B=150/2 = 75 degrees B=75 in (1) gives A+B=180 A+75 = 180 A=180-75 = 105 Answer: Angle A = 105 degrees and angle B = 75 degrees Verification: A should be greater than B by 30 degrees. Of course 105 is 30 more than 75 Therefore our angles are correct.