Question

question 21 which statement is true? ∠feg and ∠cbe are alternate angles. ∠cbe and ∠deb are same - side interior angles. ∠cbe and ∠deb are alternate angles. ∠feg and ∠deb are same - side interior angles. question 22

Explanation:

Step1: Recall angle - pair definitions

Alternate angles are non - adjacent angles on opposite sides of a transversal. Same - side interior angles are on the same side of the transversal and between the two lines.

Step2: Analyze each option

• $\angle FEG$ and $\angle CBE$: They are not alternate angles as they do not have the correct position with respect to a transversal.
• $\angle CBE$ and $\angle DEB$: These are alternate angles. They are non - adjacent and on opposite sides of the transversal that intersects the lines containing the angles.
• $\angle CBE$ and $\angle DEB$ are not same - side interior angles.
• $\angle FEG$ and $\angle DEB$ are not alternate angles.

Answer:

$\angle CBE$ and $\angle DEB$ are alternate angles.