Question

If ABF= (7x + 20), FBC=(2x - 5), and ABC= 159", find the value of x. x =

Answer 1

Given :

∠ABF = ( 7x + 20 )°

∠FBC=(2x - 5)°

∠ABC= 159°

To Find :

The value of x .

Solution :

Assuming B the center of a circle .

So , all three given angles must be added to 360° .

$(7x+20)+(2x-5)+159=360\\\\9x+15+159=360\\\\x=20.67$

Therefore , the value of x is 20.67° .

Hence , this is the required solution .