Question

which angles are vertical angles? image of intersecting lines with points w, t, z, x, u, s, y, v options: ∠vux and ∠yxu; ∠vux and ∠vus; ∠vux and ∠wxu; ∠vux and ∠tus

Explanation:

Step1: Recall vertical angles definition

Vertical angles are opposite angles formed by two intersecting lines, they are equal and share a common vertex.

Step2: Analyze each option

• Option 1: \( \angle VUX \) and \( \angle YXU \): These angles are not opposite each other formed by intersecting lines.
• Option 2: \( \angle VUX \) and \( \angle VUS \): These angles share a common side and vertex, but are adjacent, not vertical.
• Option 3: \( \angle VUX \) and \( \angle WXU \): These angles are not opposite formed by intersecting lines.
• Option 4: \( \angle VUX \) and \( \angle TUS \): When lines \( ZS \) and \( WT \) intersect at \( X \), and lines \( ZS \) and \( TV \) intersect at \( U \), \( \angle VUX \) and \( \angle TUS \) are opposite angles formed by intersecting lines \( ZS \) and \( TV \), so they are vertical angles.

Answer:

\( \angle VUX \) and \( \angle TUS \)