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Let's do this question, ABCDs, a rhombus such that the perpendicular by sector of a B passes through

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the find the angles of the rhombus.

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All right, pause the video, give it a try, and then let's do it together.

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All right.

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We're back.

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Let's do it together.

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Now, let the side of the rhombus be X units.

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All right.

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So, A.B., is it easy to see the glue?

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Because it looks all right now.

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Let's join B, Andy.

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So that's one of the diagonals, right?

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All right.

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Now let's analyze triangles deep, deep and triangle DBP.

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So these two triangles.

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All right, we will find that these two triangles are congruent.

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Now, why is that?

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So you have beauty is equal to peaty.

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That's a common sight.

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Right.

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And you have angle apre is equal to angle.

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Beauty is equal to 90 degrees.

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Right.

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Because it's mentioned that the perpendicular by sector of Ebbe.

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Oh, that's a 90 degree over here d this is given.

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All right.

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And you have EHP is equal to PB because it's a perpendicular bisecting.

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So that's why therefore these two triangles are congruent.

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Asper artists congruency ruled now because these two are congruent.

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I can say it is equal to beauty because they are corresponding sides of these two corresponding congruent

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triangles.

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All right.

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Now, because it is equal to beauty, I can say that a b.

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Beat that this triangle over here is an equal triangle, right, because it is X, Sabeti also will

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be X, all the sides are of equal length to triangle.

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EBD is an equilateral triangle.

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All right.

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Therefore, angle is equal to 60 degrees.

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Now we can easily find all the remaining angles, right?

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We can see that angle B is 120 degrees.

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Angle C, 60 degree angle D is 120 degrees because a rhombus is a parallelogram.

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Right.

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To do so because of this.

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What happens, we know that opposite angles in a program are equal to angle a 60.

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So we get Anglesey is also equal to 60.

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And we know that in a bar looking at different angles are supplementary.

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But this is 60.

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So this angle over here will be 180 minus 60.

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That's 120 degree.

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And this angle and this angle are equal.

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So this is also equal to 120 degrees.