Question

find the value of it.​

Answer 1

Answer :

Given :

line AB ,CD, EF are coplanar

and intersect at point O

angle COE = 5x°

angle BOF = 3x°

angle AOD = 2x°

To find : angle AOD , angle COE and angle AOE

Solution : Here ,as AB ,CD ,EF intersects at O

therefore , angle COE = angle FOD = 5x °.. vertically opposite angles

angle BOF = angle EOA = 3 x° .. vertically opp. angles

angle AOD = angle COB = 2x° ... vertically opposite angles

therefore , the sum of all angle will be 360°

therefore , COE + COB + BOF + FOD + DOA + AOE = 360°

5x° + 2x° + 3x° + 5x° + 2x° + 3x° = 360°

20x° = 360°

therefore ,x = 360° / 20

x = 18

therefore , angle AOD = 2x ° = 2 × 18 = 36°

angle COE = 5x° = 5 × 18 = 90°

angle AOE = 3x° = 3 × 18 = 54°

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