Question

lines AB and CD intersect at O. If

∠ AOC + ∠ BOE = 70° and ∠ BOD = 40°, find

∠ BOE and reflex ∠ COE.​

Answer 1

Answer:

<BOE = 30°

Step-by-step explanation:

<AOC=<BOD

<BOD + <BOE= 70°

<BOE = 70°- 40°

<BOE = 30°

Answer 2

Solution:

We have,

(AOC +BOE +COE) and (COE +BOD +BOE) forms a straight line.

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

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

COE = 110° and

BOE = 30°