Question

State true or false:

In a pentagon $ABCDE$, $AB=AE,BC=ED$ and $\angle ABC=\angle AED.$, then

$AC=AD$

• A. True
• B. False

Answer 1

The correct option is A True

Draw the diagram and Join AC and AD in the diagram.

In triangles ABC and AED, it is given that

$AB=AE,BC=ED$ and $\angle ABC=\angle AED$

Therefore, by SAS rule we get,

$△ABC\cong △AED$

Thus by CPCT, we conclude that

$AC=AD$.

Hence proved.