Question

In the given figure, lines
AB and CD intersect at
O. If AOC + 2 BOE = 70°
and BOD = 40°, find
BOE and reflex 2 COE.​

Answer 1

Answer:

Solution:

From the given figure, we can see;

∠AOC, ∠BOE, ∠COE and ∠COE, ∠BOD, ∠BOE form a straight line each.

So, ∠AOC + ∠BOE +∠COE = ∠COE +∠BOD + ∠BOE = 180°

Now, by substituting the values of ∠AOC + ∠BOE = 70° and ∠BOD = 40° we get:

70° +∠COE = 180°

∠COE = 110°

Similarly,

110° + 40° + ∠BOE = 180°

∠BOE = 30°