Question

. In the given figure, l || m and p is the
transversal. If angle1 and angle2 are in the ratio
1:2, find the measure of each of the angles.​

Answer 1

Answer:

angle 1 = 60

angle 2= 120

angle 3 = 60

angle 4 = 120

angle 5 = 60

angle 6= 120

angle 7 = 60

angle 8 = 120

Step-by-step explanation:

1x + 2x = 180

3x = 180

x= 180/3

x = 60

therefore , angle 1 = 1x = 60 and angle 2 = 2x = 120

angle 3 = angle 1 = 60 (Vertically opp. angle)

angle 2 = angle 4 = 120(V.O.A)

angle 5= angle 1 = 60 (alternate angles)

angle 6 = 180 - angle 5 = 120

angle 7 = 180-angle 6= 60

angle 8 = angle 4 = 120 ( vertically opp. angles)

Answer 2

Answer:

angle 1 = 60 degree

angle 2 = 120 degree

Step-by-step explanation:

angle 1 + angle 2 = 180 degree - eqn1

angle 1 = 1x

angle 2 = 2x

from eqn1 :

1x + 2x = 180 degree

3x=180 degree

X= 180/3

X = 60degree

angle 1 = 1x = 1x60 = 180 degrees

angle 2 = 2x =2x60 = 120 degrees