maths

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

$∠1=∠5=120_{o}$

$∠2=∠6=60_{o}$

$∠3=∠7=120_{o}$

$∠4=∠8=60_{o}$

Answered By

toppr

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