Question

in the given figure,I l l m and n Is transversal. if angle 1 is twice of angle two then find all the angles​

Answer 1

Answer:

let the angle 2 be x

then, angle 1 =2x

angle 1+ angle 2= 180 (by sum of all angle of

triangle)

2x + x = 180

3x = 180

x = 180/3

x = 60

then, angle 1 = 2x =2×60 = 120

angle 2= x = 60

angle 2=angle 3 (by v.o.a)

angle 3 = 60

angle 1 = angle 4 (by v.o.a)

angle 4= 120

angle 4=angle 5 (by a.i.a)

angle 5 = 120

angle 3=angle 6 (by a.i.a)

angle 6= 60

angle 5= angle 8 (by v.o.a)

angle 8= 120

angle 6= angle 7 (by v.o.a)

angle 7= 60

Hence,

angle 1=120

angle 2=60

angle 3=60

angle 4=120

angle 5=120

angle 6=60

angle 7=60

angle 8=120