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) If $$AC = CD = DB$$ and angle $$CBD$$ measures 43º, what is the value of $$x$$?
Incorrect. [[snippet]]
Correct. [[snippet]] Given that $$DC = DB$$, angles $$DCB$$ and $$DBC$$ are equal. Since the sum of all angles in a triangle is 180º and $$DCB = DBC$$, >$$\angle CDB = 180^\circ - 2(43^\circ) = 180^\circ - 86^\circ = 94^\circ$$. Based on this, angle $$ADC$$, the supplementary angle of $$CDB$$, is >$$\angle ADC = 180^\circ - 94^\circ = 86^\circ$$. The value of $$x^\circ$$ is also 86º because $$\angle ADC = \angle CAD$$.
Incorrect. [[snippet]]
Incorrect. [[snippet]]
Incorrect. [[snippet]]
8
43
67
86
94