12. Complete the two-column proof. 1 4. Drawing not to scale. Given: 2= 24, mL2 = 110° Prove: m3 - 70° Statement Proof 22 4,m22 =110° Given m 22 = mL4 Definition of congruent angles m 24 = 110° a. Definition of a linear pair (shown in m23 and m24 are a linear pair diagram) m43 and m 24 are Linear Pair Postulate supplementary m23+ m44 = 180° b. m43+110°- 180° Substitution Property %3D m23 - 70° C.

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
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12. Complete the two-column proof.
1
4.
3.
Drawing not to scale.
Given: 22= 4,m/2=110°
Prove: m23 - 70°
Statement
Proof
22E 24,m22=110°
Given
m22 = mL4
Definition of congruent angles
m 24 = 110°
a.
Definition of a linear pair (shown in
m23 and m Z4 are a linear pair
diagram)
m23 and m 24 are
Linear Pair Postulate
supplementary
m23+ m4= 180°
b.
m43+110° - 180°
Substitution Property
m 23 - 70°
C.
Transcribed Image Text:12. Complete the two-column proof. 1 4. 3. Drawing not to scale. Given: 22= 4,m/2=110° Prove: m23 - 70° Statement Proof 22E 24,m22=110° Given m22 = mL4 Definition of congruent angles m 24 = 110° a. Definition of a linear pair (shown in m23 and m Z4 are a linear pair diagram) m23 and m 24 are Linear Pair Postulate supplementary m23+ m4= 180° b. m43+110° - 180° Substitution Property m 23 - 70° C.
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