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Mathematics 22 Online
OpenStudy (julyahx1):

Can someone please confirm if i got the answer right??

OpenStudy (julyahx1):

Below is a two-column proof incorrectly proving that the three angles of ΔPQR sum to 180°: Statements Reasons ∠QRY ≅ ∠PQR Alternate Interior Angles Theorem 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 m∠RPQ + m∠PRQ + m∠PQR = m∠ZRY Substitution m∠ZRY = 180° Definition of a Straight Angle m∠RPQ + m∠PRQ + m∠PQR = 180° Substitution

OpenStudy (julyahx1):

Which statement will accurately correct the two-column proof? The measure of angle ZRY equals 180° by definition of supplementary angles. Angles QRY and PQR should be proven congruent after the construction of line ZY. The three angles of ΔPQR equal 180° according to the Transitive Property of Equality. Line ZY should be drawn parallel to segment QR.

OpenStudy (julyahx1):

I say the answer is A: The measure of angle ZRY equals 180° by definition of supplementary angles.

OpenStudy (julyahx1):

Anyone agree or disagree?

OpenStudy (julyahx1):

@Will.H @TylerMckinney16

OpenStudy (julyahx1):

oh ur a;ready here lol whoops

OpenStudy (will.h):

xD.. so i assume there is a graph of the figure?

OpenStudy (julyahx1):

i posted the question on top with my answer. And theres no graph

OpenStudy (julyahx1):

or maybe its B. a or b yeah?

OpenStudy (will.h):

The measure of angle ZRY equals 180° by definition of supplementary angles is incorrect it should be by definition of straight line of addition postulate Now we eliminated Option A Angles QRY and PQR should be proven congruent after the construction of line ZY. They proved this even before constructing the line So yeah B indeed here's a proof

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