in given figure ABCD is a cyclic quadrilateral with angle bad is 100
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Given ABCD is a cyclic quadrilateral , and ∠ BAD = 52° and ∠ BCA = 35° .
We know in cyclic quadrilateral opposite angles are supplementary , So
∠ BAD + ∠ BCD = 180° , And we can write
∠ BAD + ∠ BCA + ∠ DCA = 180° ( As ∠ BCA + ∠ DCA = ∠ BCD )
Now substitute given values , we get
52° + 35° + ∠ DCA = 180°
∠ DCA = 93° ,
And we can form our diagram , As :
We know in cyclic quadrilateral opposite angles are supplementary , So
∠ BAD + ∠ BCD = 180° , And we can write
∠ BAD + ∠ BCA + ∠ DCA = 180° ( As ∠ BCA + ∠ DCA = ∠ BCD )
Now substitute given values , we get
52° + 35° + ∠ DCA = 180°
∠ DCA = 93° ,
And we can form our diagram , As :
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