The angle 4 measures 45 degree. Thus option B is a correct.
According to the statement
We have to find the value of the measures of the angle 4 with the help of the given information.
So, For this purpose, we know that the
Vertical angles are the either of two angles lying on opposite sides of two intersecting lines.
And
Alternate angles form a 'Z' shape and are sometimes called 'Z angles.
So, From the given diagram it is clear that the
The angle measures 6 and 8
And
The angles 2 and 4 are the vertically opposite angles.
So, The value of the angle 2,4,6 and 8 are the of the same value.
And we have given that the measure of angle 6 is 45 degree. it means
Angle 2,4 and 8 are also of 45 degree.
So, The angle 4 measures 45 degree. Thus option B is a correct.
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