Question

आकृतीमध्ये, हा वर्तुळाचा केंद्रबिंदू आहे.
m LAOC = 140° असेल, तर m LABC = ?​

Answer 1

Given :-

• ∠AOC = 140°

To Find :-

• ∠ABC = ?

Answer :-

we know that,

• Angle at circumference is half of angle at centre by same chord .

so, let D is a point on the circumference by chord AC .

then,

→ ∠ADC = (1/2) ∠AOC = (1/2) * 140° = 70° .

therefore,

→ ∠ABC + ∠ADC = 180° (sum of opposite angle of a cyclic quadrilateral are equal to 180° .)

→ ∠ABC + 70° = 180°

→ ∠ABC = 180° - 70°

→ ∠ABC = 110° (Ans.)

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