Question

which angles are adjacent to each other? select all that apply.

(image of angles labeled 1,2,3,4,5 with some lines and a right angle symbol)

options:
∠2 and ∠1
∠5 and ∠4
∠2 and ∠3
∠2 and ∠4

Explanation:

Step1: Recall adjacent angles definition

Adjacent angles share a common side and a common vertex, and their non - common sides are on opposite sides of the common side.

Step2: Analyze \(\angle2\) and \(\angle1\)

\(\angle2\) and \(\angle1\) share a common vertex and a common side. Their non - common sides are on opposite sides of the common side. So they are adjacent.

Step3: Analyze \(\angle5\) and \(\angle4\)

\(\angle5\) and \(\angle4\) share a common vertex and a common side. Their non - common sides are on opposite sides of the common side. So they are adjacent.

Step4: Analyze \(\angle2\) and \(\angle3\)

\(\angle2\) and \(\angle3\) share a common vertex and a common side. Their non - common sides are on opposite sides of the common side. So they are adjacent.

Step5: Analyze \(\angle2\) and \(\angle4\)

\(\angle2\) and \(\angle4\) share a common vertex and a common side (the line that forms the angle between them). Their non - common sides are on opposite sides of the common side. So they are adjacent.

Answer:

\(\angle2\) and \(\angle1\), \(\angle5\) and \(\angle4\), \(\angle2\) and \(\angle3\), \(\angle2\) and \(\angle4\)