Question

Find 'x' in the following figure ?


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Answer 1

Answer :

20

Step-by-step explanation:

angle B = angle O ... isoscles∆

BOA and COD opposite angles

therefore COD = 3x+10

hence ODC = 3x + 10.... isosceles ∆

in ∆ COD

2x + 3x+10 + 3x+10 = 180 .... angle sum property

8x + 20=180

8x= 180-20

8x = 160

x=160÷8

therefore x = 20°

Answer 2

Step-by-step explanation:

triangle ABO, triangle OCD are isosceles triangles

angle B = angle AOB, angle COD= angle D

vertically opposite angles are equal

angle AOB= angle COD

now,

angle CDO = angle AOB= angle COD

in triangle COD,

by angle sum property

2x + 3x+10 + 3x+10 =180

8x+ 20 = 180

8x=160

x=20°