English, asked by uuytfxzsghh, 5 months ago


In the given figure 6, AOB is a diameter and ABCD is a cyclic quadrilateral. If, ADC = 120°,
Then. BAC =?​

Answers

Answered by Anonymous
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 itzBLACK1817
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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