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In the given figure, l || m and a transversal t cuts them. If ∠1:∠2 =5:4, find the measure of each of the marked angles. |
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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 °
∠2=∠6=60 °
∠3=∠7=120 °
∠4=∠8=60 ° pls follow me |
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