4. Find the anglexit EF I CDGH || BC and AB | ED I FG in the given figure.
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In the given figure we have to prove that Δ ADE and Δ FGC are similar.
Now from Δ ADE and Δ GFC we have,
∠AED=∠GFC [right-angles],
∠DAE=∠FGC [ ∵ AD∥GF andAC intersector, similar angles].
Then ∠ADE=∠GCF [Remaining angles equal by 180
∘
rule].
∴ΔADE is similar to ΔGFC.[By AA test] [henceproved]
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