Allied (or co-interior)angles are supplementary. Vertically opposite anglesare always equal.
Explanation;-
fig see in attachment⬆️please
AB and CD are two parallel lines. PQRS in the following diagram is a transversal. If two parallel lines are cut by a transversal as shown in the next diagram, we refer as follows to the angles formed:
∠AQR & ∠QRD (or ∠BQR & ∠QRC) are alternate angles.
∠PQB & ∠QRD (or ∠BQR & ∠DRS) are corresponding angles.
Answers & Comments
Answer:
Allied (or co-interior)angles are supplementary. Vertically opposite anglesare always equal.
Explanation ;-
fig see in attachment⬆️please
AB and CD are two parallel lines. PQRS in the following diagram is a transversal. If two parallel lines are cut by a transversal as shown in the next diagram, we refer as follows to the angles formed:
∠AQR & ∠QRD (or ∠BQR & ∠QRC) are alternate angles.
∠PQB & ∠QRD (or ∠BQR & ∠DRS) are corresponding angles.
∠BQR & ∠QRD (or ∠AQR & ∠QRC) are allied (or co-interior) angles.
∠PQB & ∠AQR (or ∠QRC & ∠DRS) are vertically opposite angles.
Remember:
Alternate angles are always equal.
Corresponding angles are always equal.
Allied (or co-interior) angles are supplementary.
Vertically opposite angles are always equal.
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