Question

if the angles of a triangle are X, Y and 40 degree and the difference between the two angles X and Y is 30 degree then find the values of X and Y???

Answer 1

x=55°
y=55°+30°=85°
because by angle sum property of triangle
x +y+40°=180°
and let
y=x+30°
then u will get ans..

Answer 2

Given that x , y & 40° are the angles of a triangle .

$\bold { x + y + 40° = 180°}$

since the sum of all the angles of a triangle is 180°

$\implies x+y= 140°$ _____ (i)

Also , $x-y = 30°$ _____ (ii)

On adding eqn. (i) & (ii) , we get

$2x = 170° \\\\\ x = \frac{170}{2} = 85°$

On putting x = 85° in eqn. (i) , we get

$\bold {85° + y = 140°} \\\\\ \bold {\implies y=55°}$

Hence , the required value of x & y are 85° & 55° respectively .