In the adjacent figure m || n. A, B are any two points on m and n respectively. Let 'C' be an interior, point between the lines m and n. Find $∠ A C B$ .

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Solution

Draw a line $l$ parallel to $m$ and $n$ intersecting the point C.

It is known that the alternate interior angles are equal, therefore,

$∠ x = ∠ a$ and $∠ y = ∠ b$ .

Now, $∠ A C B = ∠ z$

$= ∠ a + ∠ b$

$= ∠ x + ∠ y$

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In the adjacent figure m || n. A, B are any two points on m and n respectively. Let 'C' be an interior, point between the lines m and n. Find ∠ACB.

Draw a line l parallel to m and n intersecting the point C. It is known that the alternate interior angles are equal, therefore, ∠x=∠a and ∠y=∠b. Now, ∠ACB=∠z =∠a+∠b =∠x+∠y

In the adjacent figure m || n. A, B are any two points on m and n respectively. Let 'C' be an interior, point between the lines m and n. Find $∠ A C B$ .

Draw a line $l$ parallel to $m$ and $n$ intersecting the point C.

It is known that the alternate interior angles are equal, therefore,

$∠ x = ∠ a$ and $∠ y = ∠ b$ .

Now, $∠ A C B = ∠ z$

$= ∠ a + ∠ b$

$= ∠ x + ∠ y$