Question

angle ADB = 47° , angle XBC = 82° , angle BAD = ???


pls help as fast as u can
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Answer 1

$0 = degree$

Refer to the figure

We will use two properties of a cyclic quadrilateral :

(1) Sum of the angle measures of opposite angles = 180 degree.

(2) Angles subtended by a chord any where on the circumference in the same segment are equal to each other.

comforted degree:

Let the required angle BAC = θ degree.

_______________________________

As it is clear from the figure, both the angles ABC and BDC are the angles subtended by chord BC on the circumference in the major segment.

degree:

Hence —

Angle BAC = θ = BDC

Angle XBC + Angle ABC = 180 degree

anglere:

=> Angle ABC = (180–89) = 91 degree.

=> Angle ADC = 180 - 91 = 89 degree

=> 47 + θ = 89 degree

=> θ = 89–47 = 42 degree