in a cyclic quadrilateral ⬛ ABCD if m angle A=65 then m=D=?
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SOLUTION
CORRECT QUESTION
In a cyclic quadrilateral ABCD if ∠A = 65° then ∠D = ?
CONCEPT TO BE IMPLEMENTED
In a cyclic quadrilateral sum of opposite angles = 180°
EVALUATION
Here it is given that ABCD is a cyclic quadrilateral
Now ∠A = 65°
We know that in a cyclic quadrilateral sum of opposite angles = 180°
∴ ∠A + ∠D = 180°
⇒ 65° + ∠D = 180°
⇒ ∠D = 180° - 65°
⇒ ∠D = 115°
FINAL ANSWER
∠D = 115°
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