What is the measure of \[\angle CAD\]?
A) \[20{}^\circ \]
B) \[25{}^\circ \]
C) \[35{}^\circ \]
D) \[60{}^\circ \]
Correct Answer: A
Solution :
(a): By congruency (SAS), \[\Delta ACD\cong \Delta BDC;\]Now in \[\Delta ACD,\text{ }\angle C=125{}^\circ \text{ }\angle D=35{}^\circ \] \[\therefore \text{ }\angle A=180{}^\circ -125{}^\circ -35{}^\circ =20{}^\circ \]
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