IN FIG PQ IS A TANGENT AT A POINT C TO A CIRCLE WITH CENTER O. IF AB IS A DIAMETER AND angleCAB = 30 FIND anglePCA

Asked by Pawan | 5th Jan, 2018, 11:25: AM

Expert Answer:

 
begin mathsize 16px style Angle space in space straight a space semi minus circle space is space straight a space right space angle.
rightwards double arrow angle ACB equals 90 degree
In space triangle space BAC comma
angle CAB plus angle ABC plus angle ACB equals 180 degree
rightwards double arrow 30 degree plus angle ABC plus 90 degree equals 180 degree
rightwards double arrow angle ABC equals 60 degree
Now comma space angle PCA equals angle ABC space space left parenthesis Angles space in space the space alternate space segment right parenthesis
rightwards double arrow angle PCA equals 60 degree end style

Answered by Rashmi Khot | 5th Jan, 2018, 12:12: PM