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Sagot :

Step-by-step explanation:

Statement                                             Reason                                  

BA and BC opposite rays                    Given

AC is a straight line                              Definition of opposite rays

∠ABD + ∠CBD = ∠ABC                        Angle addition postulate

∠ABD + ∠CBD = 180°                           Definition of linear pair

m∠ABD = 5x + 7                                   Given

m∠CBD = 9x + 19                                 Given

5x + 7 + 9x + 19 = 180                           Substitution property of equality

14x  = 180 - 26                                       Subtraction property of equality

x = 154/14                                               Division property of equality

x = 11                                                       Proved

Answer:

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Step-by-step explanation:

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