Question

In the picture, o is the centre of the circle
and A,Band C and are points
Prove
that LOAC+ LABC =90?
​

Answer 1

Answer:

In that circle

if c is the centre of circle ...

and also midpoint of ∆ABC ,

then,

all the angles of the triangle are equal ...

let angles be x ,

then

x+x+x=180°

3x=180°

x=180°/3

x=60°

thus...

angle A,B and C = 60°

AO is angle bisector of angle BAC,

thus,

angle OAC = ½ BAC

= ½60

= 30°

therefore,....

angle OAC + angle ABC = 30 + 60

= 90°

thus proved...