Question

which pairs of angles in the figure below are vertical angles? check all that apply. ∠akp and ∠pki ∠ikr and ∠akp ∠akc and ∠tki ∠akt and ∠pkc

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are formed when two lines intersect. They are opposite each other and are congruent.

Step2: Analyze each option

• For ∠AKP and ∠PKI, they are adjacent angles, not vertical angles.
• For ∠IKR and ∠AKP, they are not formed by the intersection of the same two - line pairs, not vertical angles.
• For ∠AKC and ∠TKI, they are vertical angles since they are formed by the intersection of lines AC and TI at point K and are opposite each other.
• For ∠AKT and ∠PKC, they are vertical angles since they are formed by the intersection of lines PT and AC at point K and are opposite each other.

Answer:

C. ∠AKC and ∠TKI
D. ∠AKT and ∠PKC