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