What is the measure of \[\angle DBC\]?
A) \[115{}^\circ \]
B) \[100{}^\circ \]
C) \[150{}^\circ \]
D) \[155{}^\circ \]
Correct Answer: A
Solution :
(a): According to the given data, \[\Delta \,\,\,\Alpha \Beta C\cong \Delta \,\Delta \Beta C\] \[\therefore \,\,\angle DBC=\angle ABC=\frac{1}{2}\angle ABD\] \[\left( 1\,\,\text{larger }\angle \text{le} \right)\] \[=\frac{1}{2}\times \left( 360{}^\circ -130{}^\circ \right)\]
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