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in the adjoining figure AN=AC.Prove that AF>AE


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Answer 1

Answer:

$Solution:-</p><p></p><p>In △ABC,</p><p></p><p>AB=AC[Given]</p><p></p><p>∴∠ACB=∠ABC.....(i)[∵Angle opposite to equal sides are equal]</p><p></p><p>In △CDF,</p><p></p><p>∠ACB is an exterior angle.</p><p></p><p>∴∠ACB>∠DFC[∵Exterior angle property]</p><p></p><p>⇒∠ABC>∠DFC.....(ii)[From (i)]</p><p></p><p>Also,</p><p></p><p>∠DFC=∠AFE[Vertically opposite angles]</p><p></p><p>⇒∠ABC>∠AFE.....(iii)[From (ii)]</p><p></p><p>In △BDE,∠DEA is an exterior angle</p><p></p><p>∴∠DEA>∠ABC</p><p></p><p>⇒∠DEA>∠AFE[From (iii)]</p><p></p><p>In △AEF,</p><p></p><p>∠AEF>∠AFE</p><p></p><p>∴AF>AE[∵Side opposite to greater angle is greater]</p><p></p><p>Hence proved.</p><p></p><p>$

Answer 2

Answer:

Circular composition is a technique used by master artists to tie together, in a circular fashion, specific elements in a drawing or painting. This design approach is one of the more easily recognized techniques utilized in a work of art.