1. Remote interior angles of ∠RPQ are: ∠PRQ and ∠RQP.
2. ∠RPS
3. ∠RPS, ∠QPV, and ∠QRU.
4. ∠RPS = ∠QPV [vertical angles]
5. ∠RPS + ∠RPQ = 180° [linear pair]
What are Remote Interior Angles of an Exterior Angle in a Triangle?
The remote interior angles to an exterior angle in a triangle are angles that lie directly opposite the exterior angle of the triangle and do not share a vertex or corner of a triangle with the exterior angle.
1. Remote interior angles of ∠RPQ are: ∠PRQ and ∠RQP.
2. ∠RPS is an exterior angle that has ∠PRQ and ∠RQP as its remote interior angles.
3. Exterior angles of the triangle are: ∠RPS, ∠QPV, and ∠QRU.
4. ∠RPS = ∠QPV [vertical angles]
5. ∠RPS + ∠RPQ = 180° [linear pair]
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