In Figure, lines AB and CD intersect at O. If $∠$ AOC+ $∠$ BOE=70° and $∠$ BOD=40°, find $∠$ BOE and reflex $∠$ COE.

Question

In Figure, lines AB and CD intersect at O. If  $∠$ AOC+ $∠$ BOE=70° and  $∠$ BOD=40°, find  $∠$ BOE and reflex  $∠$ COE.

cdquestions Admin · Accepted Answer

Given:  $∠$ AOC +  $∠$ BOE = 70° and  $∠$ BOD = 40° To find:  $∠$  BOE, and Reflex  $∠$ COE  From Figure, ( $∠$ 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° So, reflex  $∠$ COE = 360 o  – 110 o  = 250 o

Length (in hours)	Number of lamps
300 − 400	14
400 − 500	56
500 − 600	60
600 − 700	86
700 − 800	74
800 − 900	62
900 − 1000	48

Length (in hours)	Number of lamps
300 − 400	14
400 − 500	56
500 − 600	60
600 − 700	86
700 − 800	74
800 − 900	62
900 − 1000	48

In Figure, lines AB and CD intersect at O. If \(∠\)AOC+\(∠\)BOE=70° and \(∠\)BOD=40°, find \(∠\)BOE and reflex \(∠\)COE.

Solution and Explanation

Top CBSE Class IX Mathematics Questions

Top CBSE Class IX Questions