in figure line m and n are parallel and it is the transversal if angle 1 equal 1 30 degree find the measure of the angle to angle 3 angle for angle 45 angle 6 angle 7 and angle 8 and give reasons
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It is given that ∠1=120o
from the figure we know that ∠1 and ∠2 form a linear pair of angles
so it can be written as
∠1+∠2=180o
by substituting the values
120o+∠2=180o
∠2=60o
from the figure we know that ∠1 and ∠3 are vertically opposite angles
we get
∠1=∠3=120o
from the figure we know that ∠2 and ∠4 are vertically opposite angles
we get
∠2=∠4=60o
it is given that l∥m and t is a transversal
so the corresponding angles according to the figures is written as
∠1=∠5=120o
∠2=∠6=60o
∠3=∠7=120o
∠4=∠8=60o
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