Answer:
\[\angle BAD=\angle BAE\text{ }+\angle EAD\] \[=\text{ }40{}^\circ \text{ }+\text{ }30{}^\circ \] \[=70{}^\circ \] and \[\angle CDA\text{ }=\text{ }70{}^\circ \] ∴ \[\angle BAD=\angle CDA\] But they form a pair of alternate angles. AB||CD ...(i) Also, \[\angle BAE+\angle AEF=40{}^\circ +140{}^\circ \] \[=\text{ }180{}^\circ \] But they form a pair of interior opposite angles. AB||EF ...(ii) From (i) and (ii), we get AB||CD||EF CD||EF Total hours spend by Ritika for studies = 11\[\frac{1}{3}\]hours = \[\frac{34}{3}\]hours
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