What is the value of x in the figure shown below?

angle ACD = 180°-100°-30° (int angles, AC//BD)

= 50°

x° = 50°-30°

= 20°

Hence, x=20

Step-by-step explanation:

The figure is a parallelogram. According to its property the adjacent angles are supplementary.

A and C are supplementary as adjacent angles.

Supplementary angles add up to 180°:

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐