Question

In the figure below, ABC is an isosceles triangle with |AB| = |AC|. BC is produced to D such that |AC| = |CD|. If ABC = 2xo, BAC = xo and ADC = yo, prove that x = y

Answer 1

Answer:

C=B

2x+x+y+y=180

3x+2y=180

c=b

2x=c

2x+2x+2x=180

5x=180

x=36

3x+2y=180

3(36)+2y=180

108+2y=180

2y=180-108

2y=72

y=36

x=36,y=36

Therefore, x=y

Step-by-step explanation:

Answer 2

Answer:

Given:

It has been given that $ABC$ is an isosceles triangle.

$AB = AC$

$BC$ is produced to $D$ such that $AC = CD$

$ABC = 2x$

$BAC = x$

$ADC = y$

To prove:

$x=y$

Step-by-step explanation:

In  the given question,

$2x+x+y+y=180$

$3x+2y=180$

Since angle $B$ = angle $C$

$2x =c$

$2x+2x+2x=180$

$5x=180$

$x=36$

Now, substituting the value of $x$ we get,

$3(36)+2y=180$

$108+2y=180$

$2y=180-108$

$2y=72$

$y=36$

Final Answer:

$x=36 \\y=36$

x = y

Hence, proved.

Link:

https://brainly.in/question/7274261?referrer=searchResults

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