Vertical angles are formed when two lines intersect. They are opposite each other and have equal measures. The pairs of vertical angles in the given options are ZAKT and PKC. The correct answer is option C.
Vertical angles are formed by the intersection of two lines. They are opposite each other and have equal measures.
Let's analyze the given options to determine which pairs of angles are vertical angles:
A. ZAKP and ZPKI: These angles are not opposite each other, so they are not vertical angles.
B. ZAKC and ZTKI: These angles are not opposite each other, so they are not vertical angles.
C. ZAKT and PKC: These angles are opposite each other and have equal measures, so they are vertical angles.
D. ZIKR and ZAKP: These angles are not opposite each other, so they are not vertical angles.
Therefore, the correct answer is option C. ZAKT and PKC are the pairs of angles that are vertical angles.