Question

in figure. if angle SQL=70 angle LRT= 60 and QR is bisector of angle PQL and angle PRL, find values of x,y,z and t.​

Answer 1

Answer:

let angle QRL be 'a' and angle LQR be 'b'

given that x= b and y = a

a+b+t =180 and x+y+z= 180

from both equation we get

a+b+t = x+y+z

but x=b and y=a

so t =z

Now

y+a + 60 = 180

y +y +60 = 180 ( since y=a)

2y=120

y= 60 =a

again , x+ b+70 = 180

x+x+ 70 = 180 ( since x=b )

2x = 110

x=55=b

Now a+b+t =180

60+55 +t =180

115 +t=180

t= 65 but t=z

so z=65

ans- x=55, y= 60 , z = 65 and t = 65