Mathematics, 18.08.2020 07:01 rainbowsadie7140
Below is a two-column proof incorrectly proving that the three angles of ΔPQR add up to 180°:
StatementsReasons
Draw line ZY parallel to segment PQConstruction
m∠ZRP + m∠PRQ + m∠QRY = m∠ZRYAngle Addition Postulate
∠ZRP ≅ ∠RPQAlternate Interior Angles Theorem
∠QRY ≅ ∠PQRAlternate Interior Angles Theorem
m∠RPQ + m∠PRQ + m∠PQR = m∠ZRYSubstitution
m∠ZRY = 180°Definition of a Straight Angle
m∠RPQ + m∠PRQ + m∠PQR = 180°Additive Property of Equality
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Below is a two-column proof incorrectly proving that the three angles of ΔPQR add up to 180°:
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