Question

9 use the figure below to answer the following questions. a) what are the angle pair? b) what is the value of x?

Explanation:

Step1: Identify the angle pair

The two angles \(x + 15^{\circ}\) and \(102^{\circ}\) are corresponding angles. Corresponding angles are equal when two parallel lines are cut by a transversal.

Step2: Set up the equation

Since \(x+15 = 102\) (corresponding angles are equal).

Step3: Solve for \(x\)

Subtract \(15\) from both sides of the equation: \(x=102 - 15\).

Answer:

a) Corresponding angles
b) \(x = 87\)