Question

Find the value of x from the given figure,in which O is the center of the circle

Answer 1

Answer:

50 degree

Step-by-step explanation:

Angle A =40 degree

then Angle BOC= 40 × 2

Angle BOC= 40 × 2 =80 degree

In triangle OBC,

OB=OC (all radius of a circle are equal )

then triangle OBC is a isosceles triangle,

therefore

Angle OCB= Angle OBC

Let us take Angle OCB and Angle OBC as 'x'

in triangle OBC,

Angle BOC+ Angle OCB+ Angle OBC= 180 degree (Angle sum property)

80 degree + Angle OCB+ Angle OBC= 180 degree

80 degree+ x+ x= 180degree

80 degree+ 2x = 180degree

2x= = 180degree -80 degree

2x=100 degree

x=100/2

therefore, x= 50 degree