In the given figure 6, AOB is a diameter and ABCD is a cyclic quadrilateral. If, ADC = 120°,
Then. BAC =?
Answers
Answered by
66
Answer:
ABCD is a cyclic quadrilateral.
∴ ∠ ADC + ∠ ABC = 180°
∴ 120 + ∠ ABC = 180°
∴ ∠ABC = 60°
But ∠ ACB = 90° ................... (Angle in semicircle)
In Δ ABC,
∠ BAC + ∠ ACB + ∠ ABC = 180°
∴ ∠ BAC + 90°+ 60° = 180°
∴ ∠ BAC + 150° = 180°
∴ ∠ BAC = 180°- 150°
∴ ∠ BAC = 30°
hope this helps you
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Answered by
71
Answer:
Answer:
ABCD is a cyclic quadrilateral.
∴ ∠ ADC + ∠ ABC = 180°
∴ 120 + ∠ ABC = 180°
∴ ∠ABC = 60°
But ∠ ACB = 90° ................... (Angle in semicircle)
In Δ ABC,
∠ BAC + ∠ ACB + ∠ ABC = 180°
∴ ∠ BAC + 90°+ 60° = 180°
∴ ∠ BAC + 150° = 180°
∴ ∠ BAC = 180°- 150°
∴ ∠ BAC = 30°
hope this helps you
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