Question

prove it step by step. please solve this question it's very important.​

Answer 1

Answer:

◇(consider this sign as triangle)

◇ABC is an isosceles triangle .......given

AB=AC...........given

DB=CE............given

In ◇ABC

/_ABC= /_ ACB............angles of isosceles

triangle

Let assume their measures as x°

( of angle ABC & ACB)

From the figure,

/_ABD + /_ ABC = 180°.......linear angles

:./_ABD + x =180°

:./_ABD= 180 - x°.............(i)

/_ACE + /_ ACB =180°.........linear angles

:./_ACE + x° =180°

:./_ ACE = 180 - x°............(ii)

From (i) & (ii)

/_ABD = /_ ACE (instead of = sign use sign

of congruence)

:.◇ ABD = ◇ ACE ....by SAS test

:.AE =AD.........................consecutive side of

congruent triangle

Hence proved.

Step-by-step explanation:

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