Question

In a cyclic quadrilateral ABCD if ∠BAD = 75
, find ∠ BCD
​

Answer 1

Answer:

Given ABCD is a cyclic quadrilateral

⟹opposite angle are supplementary angles

⟹∠ADC+∠ABC=180

∘

⟹∠ABC=180

∘

−77

∘

=103

∘

⟹∠CBD=∠ABC−∠ABD=103

∘

−58

∘

=45

∘

And also ∠DAB+∠BCD=180

∘

⟹∠BCD=180

∘

−75

∘

=105

∘

Answer 2

Answer:

Answer is 105°

Step-by-step explanation:

Given ABCD is a cyclic quadrilateral

⟹opposite angle are supplementary angles

⟹∠ADC+∠ABC=180

∘

⟹∠ABC=180

∘

−77

∘

=103

∘

⟹∠CBD=∠ABC−∠ABD=103

∘

−58

∘

=45

∘

And also ∠DAB+∠BCD=180

∘

⟹∠BCD=180

∘

−75

∘

=105 ∘

Hopefully it will help you

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