Question

In the figure, l || m find angle y



Pls explain the solution also ​

Answer 1

Answer:

35

Step-by-step explanation:

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Answer 2

Answer:

∠y = 35°

Step-by-step explanation:

As l || m,

∠60° and ∠a are interior angles.

So,

$\longrightarrow$ ∠60° + ∠a = 180° --- (Interior angles are supplementary, l || m)

$\longrightarrow$ ∠a = 180° - 60°

$\longrightarrow$ ∠a = 120°

∠a and ∠b are vertically opposite angles,

$\longrightarrow$ ∠a = ∠b --- (vertically opposite angles are equal)

$\longrightarrow$ ∠b = 120°

∠y, ∠b and ∠25° form a triangle,

$\longrightarrow$ ∠y + ∠b + ∠25° = 180° --- (Angle sum property of triangle)

$\longrightarrow$ ∠y + 120° + 25° = 180°

$\longrightarrow$ ∠y + 145° = 180°

$\longrightarrow$ ∠y = 180° – 145°

$\longrightarrow$ ∠y = 35°

Therefore, ∠y = 35°.