Sonny Bates

Mathematics

20 March, 08:47

Statements Reasons

Draw line ZY parallel to segment PQ Construction

m∠ZRP + m∠PRQ + m∠QRY = m∠ZRY Angle Addition Postulate

∠ZRP ≅ ∠RPQ Alternate Interior Angles Theorem

∠QRY ≅ ∠PQR Alternate Interior Angles Theorem

m∠RPQ + m∠PRQ + m∠PQR = m∠ZRY Substitution

m∠ZRY = 180° Definition of a Straight Angle

m∠RPQ + m∠PRQ + m∠PQR = 180° Additive Property of Equality