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find the value of x. name the angle pair used. 4 125° (2x + 5)°

Question

find the value of x. name the angle pair used. 4 125° (2x + 5)°

Explanation:

Step1: Identify angle - pair relationship

The angles \(125^{\circ}\) and \((2x + 5)^{\circ}\) are corresponding angles. For parallel lines, corresponding angles are equal. So we set up the equation:

$$2x+5 = 125$$

Step2: Solve for \(x\)

Subtract 5 from both sides of the equation:

$$2x=125 - 5$$
$$2x=120$$

Divide both sides by 2:

$$x=\frac{120}{2}=60$$

Answer:

\(x = 60\). The angle - pair is corresponding angles.