+0  
 
+1
348
2
avatar+1462 

Help Me, please!

 

Given: AB=AC, angle1=angle2

Prove: angle B= angle C

 Jan 16, 2019
 #1
avatar+111357 
+2

AB = AC                                                        given

Angle 1 = Angle 2                                         given

Angle BAD is supplemental to Angle 1         supplementary pair

Angle CAD is supplemental to Angle 2         supplementary pair

Angle BAD  + Angle 1 = 180                         definition of supplemental

Angle CAD + Angle 2 = 180                          definition of supplemental

Angle BAD + Angle 1 = Angle CAD + Angle 2      substitution

Angle BAD = Angle CAD                                      subtraction property of equality

AD = AD                                                               reflexive property of equality

Triangle DAB congruent to Triangle DAC            SAS

Angle B  = Angle C                                            corresponding parts of congruent triangles are congruent

 

 

cool cool cool

 Jan 16, 2019
 #2
avatar+1462 
+1

Thank You Cphill

 Jan 16, 2019

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