Question

Which pairs of angles in the figure below are vertical angles?
Check all that apply.

Answer 1

A and D.

Explanation:

A pair of angles are vertical if both measure the same and both are opposite by a vertex. Then, in the figure we have that

∠AKC and ∠TKI are vertical angles

∠AKP and ∠PKI are not vertical angles (∠PKI measures more than ∠AKP and these angles are not opposite by a vertex).

∠AKT and ∠PKC are not vertical angles (same reason as the second option).

∠IKR and ∠AKP are vertical angles.

Answer 2

A. <AKC and <TKI

D. <IKR and <AKP

EXPLANATION

Vertical angles are also called X-angles.

They are angles in the opposite corners of a figure that looks like X.

From the diagram, the options that are vertical angles are:

A. <AKC and <TKI

D. <IKR and <AKP

The correct answers are A and D.