Question

in the given figure two lines A B and CD intersect at a point O. if AOC + BOD = 70 ° find the measure of a AOD​

Answer 1

Step-by-step explanation:

Given:∠BOD=40°

Since AB and CD intersects, ∠AOC=∠BOD(vertically opposite angles)

∠AOC=40°

Also,∠AOC+∠BOE=70°

⇒∠BOE=70°

−∠AOC=70∘ −40 ∘ =30 ∘

We need to find reflex∠COE

Reflex∠COE=360 ∘ −∠COE

Now, ∠AOC+∠COE+∠BOE=180∘

⇒∠COE+(∠AOC+∠BOE)=180∘

⇒∠COE+(40 ∘ +30 ∘ )=180 ∘

⇒∠COE=180∘−70 ∘ =110∘

Reflex∠COE=360 −110 =250

Answer 2

Answer:

55°

Step-by-step explanation:

180° - (AOC + BOD) = 2 AOD

Gives AOD = 55°