Question

In the given figure , l // m and n is a transversal . If angle 4 =120° , the measure of angle 7 is​

Answer 1

Answer:

It is given that ∠1=120

o

from the figure we know that ∠1 and ∠2 form a linear pair of angles

so it can be written as

∠1+∠2=180

o

by substituting the values

120

o

+∠2=180

o

∠2=60

o

from the figure we know that ∠1 and ∠3 are vertically opposite angles

we get

∠1=∠3=120

o

from the figure we know that ∠2 and ∠4 are vertically opposite angles

we get

∠2=∠4=60

o

it is given that l∥m and t is a transversal

so the corresponding angles according to the figures is written as

∠1=∠5=120

o

∠2=∠6=60

o

∠3=∠7=120

o

∠4=∠8=60

o

Answer 2

Answer:

here angle1=120degree

then angle2=180 degree - 120 degree(by linear pair)=60degree

now angle3=angle1 and angle4= angle 2(by vertically opposite)

therefore angle3=120degree and angle4=60degree

angle6=angle2(corresponding angle)

angle7=angle3(corresponding angle)

and angle 5=angle7(vertically opposite)

angle8 =angle6

angle6=120degree

angle7=60degree

angle5=120 degree

and angle8=60 degree