What is the reason for statement 2 of the two-column proof? a) linear pair postulate b) ruler postulate c) angle addition postulate d) angle congruence postulate

observe the figure below.

given:

to prove: is an obtuse angle.

statements                                                                          

1.                                          

reason:   given

2. and are supplementary.

reason: linear pair postulate

a linear pair is a pair of adjacent angles formed when two lines intersect. the two angles of a linear pair are always supplementary , which means their measures add up to 180 degrees.

3.

reason: def of supplementary angles

4.

reason: substitution property of equality

5.

reason: subtraction property of equality

6.   is an obtuse angle.

reason: def of obtuse angle.

x is variable or an unknown value to find

example:

2x = 5 which means x = 3

step-by-step explanation:

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