In the figure, if ∠ AOC + ∠ BOD = 70°, find ∠ COD.
∠ AOC + ∠ BOD = 70° (Given) ……………….(i)
∠ AOC + ∠ COD + ∠ BOD = 180° (Linear pair axiom)
\\ ∠ COD = 180° - (∠ AOC + ∠ BOD)
= 180° - 70° [From (i)]
= 110°
∴ The measure of ∠ COD = 110°.
∠ AOC + ∠ COD + ∠ BOD = 180° (Linear pair axiom)
\\ ∠ COD = 180° - (∠ AOC + ∠ BOD)
= 180° - 70° [From (i)]
= 110°
∴ The measure of ∠ COD = 110°.
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