Question

find the value of x in the following figure ​

Answer 1

Answer:

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Answer 2

Answer:

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Step-by-step explanation:

<ABO = <AOB. ( angles opposite to equal sides are equal)

so,

<AOB = 3x + 10

and, <AOB = <COD (vertically opposite angles)

<COD. = 3x + 10 -------------------- (1)

<COD = <CDO (angles opposite to equal sides are equal)

------------------ (2)

now,

in triangle COD,

<COD. + <CDO. + < OCD. = 180⁰ ( angles sum property)

3x + 10⁰ + 3x. + 10⁰ + 2x. = 180⁰

8x. + 20⁰ = 180⁰

8x. = 180⁰ - 20⁰

8x. = 160⁰

x. = 160⁰/8

x = 20⁰

so the value of x is 20⁰