Question

ln the following figure,the value of x is

Answer 1

Hi,

Angle subtended by same arc are equal
<BAC = <BDC = 45

In triangle ABC
x = 180-(100+45)
x = 35

Hope it helped.

Answer 2

<BAC=<BDC (ANGLE MADE BY COMMON ARC BC)
SINCE <BAC=45°
IN∆BAC
<B+<A+<C= 180°
100°+45°+x =180°
x=180°-145°
x=35°°

hope this will help you