The value of x is 18°.
It is required to find the value of given angle.
What is angle?
In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.
Given that:
m <AOB=28° ,
m < BOC=3x-2,
m< AOD=6x
It is given that
m <AOB=m< COD
so,
m< AOD=m <AOB+ m < BOC+ m< COD
By putting the value, we get
6x=28°+3x-2+28°
6x=54°+3x
3x=54°
x=54°/3
x=18°
∴m <AOB=28° ,
m < BOC=3x-2
m < BOC=3*18-2=52°
m< COD=28°
Therefore, the value of x is 18°.
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