The quadrilateral ABCD is cyclic. The opposite angles of a cyclic quadrilateral are supplementary.
So, x + 100° = 180°
Therefore, x = 80°.
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Since A, B, C and D lie on the same circle, ABCD is a cyclic quadrilateral. In a cyclic quadrilateral, the sum of two opposite angles is 180°.
Here, ∠D = 100° and ∠B = x.
Therefore,
x + 100° = 180°
x = 180° – 100°
x = 80°
Hence, the value of x is 80°.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 5 I’m Up and Down and Round and Round (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-5/