Question

4. Find the value of the unknown variable x and y ​

Answer 1

Answer:

X=44° ,Y=136°

Step-by-step explanation:

taking ∆ABC

<ABC=X

<ACB=180-y

<CAB=92

also, <ABC=<ACB

taking both as X

2x + 92 = 180

2x = 88

X= 44°

also

y + x = 180

y = 180 - X

y= 180 - 44

y = 136°

Answer 2

Let the triangle be ABC, where

angle A=x,

angle B=92°[vertically opposite angle]

And angle C=180°-y [Linear pair]

we know that, in the given Triangle,

AB=AC

hence angle A = angle C

therefore, x=180-y

x+y=180.... eq 1

now,

because sum of all angles in a triangle is equivalent to 180°

therefore , x+92+180-y=180

x-y= -92.... eq 2

now by solving eq 1and 2,we get,

x=44°

and y=136°

Hope this helps you :)