MathematicsIn the following figure, if ∠1+∠3=120° , then ∠2+∠4 is equal to

In the following figure, if $∠ 1 + ∠ 3 = 120 °$ , then $∠ 2 + ∠ 4$ is equal to

∠ 1 + ∠ 3 = 120 °

(

∵ ∠ 1 = ∠ 3

vertically opposite angles are equal)

$2 ∠ 3 = 120 ° \Rightarrow ∠ 3 = 60 °$

$∠ 3 + ∠ 4 = 180 ° \Rightarrow ∠ 4 = 180 ° - 60 ° = 120 °$

$∠ 2 + ∠ 4 = 120 ° + 120 ° = 240 °$ ( $∵ ∠ 2 = ∠ 4$ vertically opposite angles are equal)

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