Question

problem 3: complete this sentence with the best of the choices given. if two angles in a linear pair have the same measure, then each is a(n) _________. after you pick your answer press go. a. acute angle b. unique angle c. obtuse angle d. right angle e. vertical angle

Explanation:

Step1: Recall linear - pair property

A linear pair of angles sum to 180°.

Step2: Let the measure of each angle be \(x\)

If the two angles in the linear pair have the same measure, then \(x + x=180^{\circ}\), which simplifies to \(2x = 180^{\circ}\).

Step3: Solve for \(x\)

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

Step4: Identify the angle type

An angle with a measure of 90° is a right - angle.

Answer:

D. right angle