The value of x is 54 and the measure of angle 8 is 64 degrees
<h3>How to determine the value of x and find the measure of angle 8?</h3>The given parameters are
Angle 1 = 2x + 10
Angle 8 = x + 10
The figure that completes the question is added as an attachment
From the figure, we have
Angle 1 = Angle 3 ---- vertical angles
Angle 3 + Angle 8 = 180 ---- internal angles within the transversal
Substitute Angle 1 = Angle 3 in the equation Angle 3 + Angle 8 = 180
Angle 1 + Angle 8 = 180
Substitute the known values in the above equation
2x + 8 + x + 10 = 180
Evaluate the like terms
3x = 162
Divide both sides by 3
x = 54
Substitute x = 54 in Angle 8 = x + 10
Angle 8 = 54 + 10
Evaluate
Angle 8 = 64
Hence, the value of x is 54 and the measure of angle 8 is 64 degrees
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