Question

Geometry help please? 4 questions. Thanks!

Answer 1

Question 1:


           Statement                                          Reasons
m∠ABD + m∠DBC = m∠ABC         Angle addition postulate
60° + 40° = m∠ABC                        Substitution Property of equality
100° = m∠ABC                                 Simplpifying
∠ABC is an obtuse angle               Definition of obtuse angle

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Question 2:

Statement                                               Reasons
AC = BD                                 Given
AC = BC + BD                        Segment addition postulate
AB + BC = BC + CD               Addition property of equality

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Question 3:

Angle congruence postulate

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Question 4:

Segment congruence postulate