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Asked by hakilashaikh13775 | 17 Jan, 2024, 11:22: PM

Above figures show that acute angle θ formed between non-vertical lines AB and CB.

Line AB makes angle α with x-axis and its slope is tanα . If slope of line AB is m1, then tanα = m1 .

Line CB makes angle β with x-axis and its slope is tanβ . If slope of line CB is m2, then tanβ = m2 .

It can be seen from figure ,  angle θ = angle β - angle α.

..........................(1)

For fig.1 , eqn.(1) can be written as

..............................(2)

For fig.2 , eqn.(1) can be written as

...........................(3)

In general , eqn.(1) and eqn.(2) are written as

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