A) \[26{}^\circ \]
B) \[28{}^\circ \]
C) \[30{}^\circ \]
D) \[24{}^\circ \]
Correct Answer: A
Solution :
In \[\Delta ABD,\]\[\angle BAD+\angle b+90{}^\circ =180{}^\circ \] \[\angle DAC=360{}^\circ -\left( 290+48 \right)=22{}^\circ \] \[\angle b=180{}^\circ -90{}^\circ -48{}^\circ =180{}^\circ -138{}^\circ \] \[\angle b=22{}^\circ \] In \[\Delta ADC,\]\[\angle DAC+\angle a+90{}^\circ =180{}^\circ \] \[\angle a=180{}^\circ -90{}^\circ -22{}^\circ \] \[\angle a=68{}^\circ \] Difference\[=68{}^\circ -22{}^\circ =26{}^\circ \]
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