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Question

In a ABC,A=x,B=(3x2),C=y and CB=9.Find the three angles.

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Solution

The total sum of the angles in a triangle is 180
So
A+B+C=180
given
A=x,B=(3x2),C=y

(x)+(3x2)+(y)=180

4x+y=180+2

4x+y=182

y=1824x....(1)

given

CB=9

(y3x+2)=9

Put the value of y from equation (1)

1824x3x+2=9

7x=92182

7x=175

x=25

put in equation (1)

y=1824×25

y=182100

y=82

A=x=25,

B=(3x2)=(3×252)=73

,C=y=82


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