Question

ABCD is a cyclic quadrilateral the value of x is

Answer 1

angle ADC =180°-80°
= 100°

since it is a cyclic quadrilateral

angle ADC + angle ABC = 180°
(opposite angles are supplementary )

so
angle ABC = 80°

then X= 100°

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Answer 2

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given that ABCD is a cyclic quadrilateral.

∠D = 80°

∴ ∠CDA = 180° - 80° (linear pair)

= 100°

⇒ ∠ABC = 180° - 100° (since the sum of opposite angles of a quadrilateral is 80°)

= 80°

∴ x = 180° - 80° (linear pair)

= 100°

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