Question

A quadrilateral ABCD is inscribed in a circle such that AB is a diameter and ∠ADC =

130°. Find ∠BAC​

Answer 1

Answer:

⇒ Quadrilateral ABCD inscribe in a circle.

∴ Quadrilateral ABCD is a cyclic quadrilateral.

⇒ ∠ADC+∠ABC=180

o

[ Sum of opposite angles of cyclic quadrilateral is supplementary ]

⇒ 130

o

+∠ABC=180

o

⇒ ∠ABC=180

o

−130

o

⇒ ∠ABC=50

o

Explanation:

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