Question

which angles are vertical to each other?
∠4 and ∠12
∠13 and ∠15
∠1 and ∠8
∠15 and ∠14

Explanation:

Step1: Recall the definition of vertical angles

Vertical angles are the angles opposite each other when two lines cross.

Step2: Analyze each pair

• For \(\angle4\) and \(\angle12\): They are not vertical angles.
• For \(\angle13\) and \(\angle15\): They are not vertical angles.
• For \(\angle1\) and \(\angle8\): They are not vertical angles.
• For \(\angle15\) and \(\angle14\): They are vertical angles as they are opposite each other where two lines intersect.

Answer:

\(\angle15\) and \(\angle14\)