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Students in this video, let's learn how to find the angle between two lines.

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All right, now let's take two lines.

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We have Y is equal to and one, X plus C one and Y is equal to M2 X plus C two.

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All right.

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Now, what is M1?

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It's the slope of line one.

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Right.

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And what is M2 is the slope of line two.

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Now you can find the angle between the two lines using this formula.

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Let t to be the angle between the two lines then then of data will be equal to more of one minus M2

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divided by one plus M1 m2.

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Now over here is the angle between the lines.

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Let's take an example.

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Say it's given that Y is equal to root three X plus five, that is one line and we have one more line.

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That is why is equal to one birute three X plus eleven.

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Now we need to find the angle between these two lines.

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All right.

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So Tante will be equal to more of M one minus M2 by one plus and one M2.

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That is equal to room three minus one by three, divided by one plus room three in two, one bedroom

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three.

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Now all this simplifies to two Beirut three divided by two.

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Right.

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So Tanta is equal to two Beirut three divided by two which is equal to one.

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Beirut three.

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Now you can check more on this in the section and technology.

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It's something that we have to learn that santita is equal to one Beirut three when data is equal to

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thirty degree.

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So using this formula, we have found that the angle that is theta between nine Y is equal to rule three,

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X plus five and Y is equal to one BIRUTE three, X plus five is equal to thirty degrees.

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So let's quickly revise.

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If you are given two lines, you need to find the two slopes by converting the given equation of the

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line into this form.

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That is why is equal to IMEX policy.

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After getting the two slopes, you can find Tanty using the Formula One minus M2 by one plus and one

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M to remember.

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What you get over here is Santita right?

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That's the slope.

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Now you need to convert this to Peter to get the angle and using that for that you need to use trigonometry.