Question

complete this sentence by selecting always, sometimes, or never. if the two angles of a linear pair are congruent, they are ____ right angles. after you pick your answer press go. a. always b. sometimes c. never

Explanation:

Step1: Recall the property of a linear pair

The sum of angles in a linear pair is \(180^{\circ}\). Let the two congruent angles in the linear pair be \(x\) and \(x\).

Step2: Set up an equation

By the angle - sum property of a linear pair, \(x + x=180^{\circ}\), which simplifies to \(2x = 180^{\circ}\).

Step3: Solve for \(x\)

Dividing both sides of the equation \(2x = 180^{\circ}\) by \(2\), we get \(x=\frac{180^{\circ}}{2}=90^{\circ}\).

Answer:

A. always