In a ` A B C` , `/_A=xo,\ \ /_B=(3x-2)o,\ \ /_C=yo` . Also, `/_C-/_B=9o` . Find the three angles.

Answer

` angle A = 25^(@), angle B = 73^(@), angle C = 82^(@)`

Explanation

` angle A + angle B + angle C = 180^(@) rArr x + ( 3x - 2) + y = 180 rArr 4x + y = 182 " "`… (i)
` angle C - angle B = 9^(@) rArr y - 3x + 2 = 9 rArr y - 3x = 7" " `… (ii)
From (i) and (ii), we get ` 7x = 175 rArr x = 25 `.
Putting x = 25 in (i), we get y = 82.
` therefore angle A = 25^(@), angle B= ( 3xx 25 - 2)^(@) = 73^(@), angle C = 82^(@)`.