Question

in the given figure ab parallel CD prove that angle BAE minus angle DCE is equals to angle AEC​

Answer 1

Where's the figure? Please insert it.

Answer 2

Answer:

I hope this resolves your query.

Step-by-step explanation:

Is it true figure of the question?

Solution:

Given: AB//CD.

To prove: <BAE - <DCE = <AEC

Construction: draw a line EF//AB//CD

Proof: AB//CD//EF.

<AEF + <AEC = <FEC

<FEA + <BAE = 180 ( co-interior angle)...eq`n (1).

and <FEC + <DCE = 180 (co-interior angle).

<FEA + <AEC + <DCE = 180 ......eq`n (2).

Now, comparing eq`n (1) and eq`n (2), we get;

<FEA + < BAE = <FEA + <AEC +<DCE.

< BAE = < AEC + <DCE...[ <FEA replaced ].

<BAE - <DCE = <AEC.

Hence, the required condition be proved.