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THe measure of ∠ABC is 102°, find the measure of ∠DBC.

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animalover4546 | Student, Undergraduate | (Level 2) Honors

Posted September 16, 2012 at 1:23 AM via web

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THe measure of ∠ABC is 102°, find the measure of ∠DBC.

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vixen999 | High School Teacher | (Level 2) Adjunct Educator

Posted September 18, 2012 at 4:47 PM (Answer #1)

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Depending on the diagram for the problem, there could be different answers to this question.  I am going to assume that A, B and D are all on the same line with B between A & D.  C is therefore on a line that intersects this line at point B. 

Angle ABC is 102 (given) and the angle DBC forms a linear pair with the angle.  This means that the two angles together form a straight line and are supplementary.  Thus, 102 + angle DBC - 180 and therefore, angle DBC = 78 degrees.

 

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Jyotsana | Student, Grade 10 | (Level 1) Valedictorian

Posted March 9, 2014 at 4:09 PM (Answer #2)

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ABC+DBC=180

102+DBC=180

102+DBC-102=180-102

DBC=78 degree

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