Question

select all the pairs of alternate interior angles.
∠wxu and ∠vux
∠yxz and ∠wxu
∠yxu and ∠tus
∠yxu and ∠tux

Explanation:

Step1: Recall alternate - interior angles definition

Alternate - interior angles are formed when a transversal intersects two lines. They are non - adjacent angles that lie between the two lines and on opposite sides of the transversal.

Step2: Analyze the given angles

For the lines \(WY\) and \(TV\) with transversal \(ZS\):

• \(\angle WXU\) and \(\angle VUX\) are between the lines \(WY\) and \(TV\) and on opposite sides of the transversal \(ZS\), so they are alternate - interior angles.
• \(\angle YXZ\) and \(\angle WXU\) are a linear pair, not alternate - interior angles.
• \(\angle YXU\) and \(\angle TUS\) are between the lines \(WY\) and \(TV\) and on opposite sides of the transversal \(ZS\), so they are alternate - interior angles.
• \(\angle YXU\) and \(\angle TUX\) are between the lines \(WY\) and \(TV\) and on opposite sides of the transversal \(ZS\), so they are alternate - interior angles.

Answer:

\(\angle WXU\) and \(\angle VUX\), \(\angle YXU\) and \(\angle TUS\), \(\angle YXU\) and \(\angle TUX\)