Question

what is the value of x if the measure of angle 8 equals 2x and angle 2 measures 125 degrees? 125 degrees 55 degrees 27.5 degrees 62.5 degrees

Explanation:

Step1: Identify angle - relationship

Angle 2 and angle 8 are corresponding angles. For parallel lines (assuming the two horizontal lines are parallel), corresponding angles are equal. So, \(m\angle8=m\angle2\).

Step2: Set up the equation

Since \(m\angle8 = 2x\) and \(m\angle2=125^{\circ}\), we have the equation \(2x = 125\).

Step3: Solve for \(x\)

Divide both sides of the equation \(2x = 125\) by 2. So, \(x=\frac{125}{2}=62.5\).

Answer:

62.5 degrees