In the figure ,O is the centre of the circle.if OAD =48 and OCD=31 then what is the measure of angle AOC?
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In the figure, O is the centre of the circle.
Construction: Join OD.
In Δ AOD,
AO = OD (radii)
∠ DAO = ∠ ADO = 48°
In Δ COD,
CO = OD (radii)
∠ OCD = ∠ ODC = 31°
From figure, it's clear that,
In the figure, O is the centre of the circle.
Construction: Join OD.
In Δ AOD,
AO = OD (radii)
∠ DAO = ∠ ADO = 48°
In Δ COD,
CO = OD (radii)
∠ OCD = ∠ ODC = 31°
From figure, it's clear that,
∠ ADO + ∠ ODC = ∠ ADC
48° + 31° = ∠ ADC
∠ ADC = 79°
∠ AOC = 2 × ∠ ADC
= 2 × 79°
= 158°
∴ ∠ AOC = 158°
∠ ADO + ∠ ODC = ∠ ADC
48° + 31° = ∠ ADC
∠ ADC = 79°
∠ AOC = 2 × ∠ ADC
= 2 × 79°
= 158°
∴ ∠ AOC = 158°
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