Question

question 11 (1 point) name all pairs of vertical angles. question 12 (1 point) tell whether ∠1 and ∠3 are only adjacent, adjacent and form a linear pair, or not adjacent.

Explanation:

Question 11

Step1: Recall vertical - angle definition

Vertical angles are pairs of non - adjacent angles formed by two intersecting lines.

Step2: Analyze given angles

In the figure with intersecting lines at point \(L\), \(\angle JLK\) and \(\angle MLN\) are non - adjacent angles formed by the intersection, and \(\angle JLM\) and \(\angle KLN\) are non - adjacent angles formed by the intersection.

Step1: Recall adjacent and linear - pair definitions

Adjacent angles have a common side and a common vertex. A linear pair of adjacent angles are supplementary (sum to \(180^{\circ}\)) and form a straight line.

Step2: Analyze \(\angle1\) and \(\angle3\)

\(\angle1\) and \(\angle3\) have a common vertex \(A\) and a common side. Also, \(\angle1+\angle3 = 180^{\circ}\) as they form a straight line \(BC\). So they are adjacent and form a linear pair.

Answer:

A. \(\angle JLK\) and \(\angle MLN\); \(\angle JLM\) and \(\angle KLN\)

Question 12