2. Complete the proof of this theorem:"if two lines are cut by a transversal and a pair of same-side interior angles aresupplementary, then the lines are parallel".Given: 41 and 23Prove:rllsProof:StatementsReasons1. m²l + m<3 =180°2. m41 + m2 = 180°3. m/1 + m<2 = m²1 +m234. m2 + m23245. 22 236. rlls

Answered: Image /qna-images/answer/d4b4bda1-30dd-4d9b-95c5-21dcea0dcb88.jpg

Answered: 2. Complete the proof of this theorem:…

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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1. Refer to the figure or the right. Supply the missing statements/ reasons using the statements on the box below the table. Given: AB and CB are tangents to 1 O at A and C, respectively, and intersect at the exterior point B. Prove: MLABC =(MAPC-mAC) Proof: (Supply the missing Statements/Reasons) Statements Reasons Given Line Postulate Definition of exterior angle Draw chord INDABC, m/I=m2+mZB mZB= %3D Subtraction Property of Equality 1 MAPC; m/2=- m21= mLB=MAPC -mAC %3D Common Monomial Factor m/B=
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