Question

In the given figure, angle OEB =75°, angle OBE =55°, and angle OCD =100°. Find angle ODC (with proper steps).​

Answer 1

Answer:

We can use Angle sum property and vertically opposite angle here to find the answer of this question.

In the angle BEO ,

angle BEO= 75°

angle OBE = 55°

By using ASP ( Angle Sum Property ) ,

angle (BEO + OBE + BOE )= 180°

angle (130° + BOE) = 180°

angle BOE = 180°-130° = 50°

angle BOE = angle COD ( not call of duty)(vertically opposite angles)

50° = angle COD

angle (COD + ODC + OCD ) = 180° (by ASP)

angle ODC = 180°- 150° = 30°

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Answer 2

Step-by-step explanation:

in triangle BOE,

B+O+E=180 .... sum of all angles of triangle is 180

55+75+E=180 .... given

130+E=180

E=180-130

E=50

and

angle BOE = angle COD. .. vertically opposite angles

COD=50

In triangle COD,

c + O + D =180 ... sum of angles of triangle

100 + 50 + D =180

150 +D =180

D=180-150

D=30

ODC = 30 degree