Given: WY> YX Prove: mZZWY > mzYWX Z W Proof: Because WY> YX, mzWXY Select Choice #mZYWX because if one side of a triangle is longer than another side, then the angle opposite the longer side has a Select Choice the angle opposite the shorter side. But because mZZWY Select Choice mzWXY, by the Exterior Angle Theorem, mzZWY> m2YWX by the Select Choice Property.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Given: WY> YX. Prove: angle ZWY > angle YWX.

Given: WY> YX
Prove: m2Z WY>m<YWX
Z
W
X
Y
Proof: Because WY > YX, m<WXY Select Choice mYWX because if one side of a triangle is longer than another side, then the angle opposite the longer
side has a Select Choice
the angle opposite the shorter side. But because mZZWY Select Choice mzWXY, by the Exterior Angle Theorem,
mzZWY> mzYWX by the Select Choice Property.
Transcribed Image Text:Given: WY> YX Prove: m2Z WY>m<YWX Z W X Y Proof: Because WY > YX, m<WXY Select Choice mYWX because if one side of a triangle is longer than another side, then the angle opposite the longer side has a Select Choice the angle opposite the shorter side. But because mZZWY Select Choice mzWXY, by the Exterior Angle Theorem, mzZWY> mzYWX by the Select Choice Property.
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