Question

v. In a cyclic quadrilateral ABCD , the side AB is extended to a point X. If ∠XBC = 82° and ∠ADB = 47° , then the value of ∠BAC is​

Answer 1

Answer:

Step-by-step explanation:

We know that the sum of opposite angles of a cyclic quadrilateral is 180°.

Given , ∠XBC = 82°

∴ ∠ABC = 180° – 82° = 98°

∴ ∠ADC + ∠ABC = 180°

⇒ ∠ADC = 180° – 98° = 82°

∠ADB = 47° .

∴ ∠BAC= 82° – 47° = 35°