Question

question 45 of 49 given that the measure of angle g is 109°, what is the measure of angle k?

Explanation:

Step1: Identify angle - relationship

Angle \(g\) and the angle adjacent to angle \(k\) (the \(71^{\circ}\) angle) are corresponding angles. Corresponding angles formed by two parallel lines and a transversal are equal.

Step2: Use the linear - pair property

Angle \(k\) and the \(71^{\circ}\) angle form a linear - pair. The sum of angles in a linear - pair is \(180^{\circ}\). Let the measure of angle \(k\) be \(x\). Then \(x + 71^{\circ}=180^{\circ}\).

Step3: Solve for angle \(k\)

Subtract \(71^{\circ}\) from both sides of the equation: \(x=180^{\circ}-71^{\circ}=109^{\circ}\).

Answer:

B. \(109^{\circ}\)