Question

consider the figure below. which pair of angles form a linear pair? 2 and 6 1 and 3 8 and 4 5 and 6 question 2 fill in the blank with the correct answer. supplementary angles and linear pairs ______ have the same angle sum. sometimes never not enough information to make an informed decision always

Explanation:

Step1: Recall linear - pair definition

A linear pair of angles are adjacent angles formed when two lines intersect. The sum of angles in a linear pair is 180 degrees.

Step2: Analyze each option for Question 1

• Option "2 and 6": These are not adjacent angles formed by the intersection of two lines.
• Option "1 and 3": These are vertical angles (opposite angles formed by two intersecting lines), not a linear - pair.
• Option "8 and 4": These are not adjacent angles formed by the intersection of two lines.
• Option "5 and 6": These are adjacent angles formed by the intersection of two lines and their non - common sides form a straight line. So, they are a linear pair.

Step3: Recall supplementary and linear - pair angle sum for Question 2

Supplementary angles are two angles whose sum is 180 degrees. Linear pairs are adjacent angles that are supplementary (sum to 180 degrees). So, supplementary angles and linear pairs always have the same angle sum (180 degrees).

Answer:

Question 1: D. 5 and 6
Question 2: D. Always