1
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Let's do this question, the angles of a quadrilateral ABCDE taken in an order are in the ratio, three

2
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to seven is to six is to four, then ABCDE isn't all the video.

3
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Give it a try and then let's do it together.

4
00:00:15,790 --> 00:00:16,270
All right.

5
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Let's do it together.

6
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We know that in a program, opposite angles have to be equal.

7
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Right?

8
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But over here you can see that every angle is different.

9
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You can take the angles as three x seven, six, six, six and four because the ratio is three to seven

10
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is to six is to four.

11
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Now there are no sets of equal angles.

12
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Therefore it cannot be a program.

13
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All right.

14
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Now a rhombus is also a parallelogram.

15
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We will see that in the next section.

16
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Therefore, it cannot be option C as well.

17
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All right.

18
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Now, in a kite, we have seen that there is one pair of equal and opposite to each other right now.

19
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Over here, all the angles are different.

20
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Therefore, it cannot be a kite also.

21
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And the correct answer is option D, that is, it's a trapezius.

22
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Now, let's quickly check whether we have one set of opposite sides that are parallel.

23
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Now the angles can be taken as three x seven, six, six and for X now we know this is a four sided

24
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figure.

25
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So the sum of the angles has to be equal to 360 degree, right.

26
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Therefore, 20 X is equal to 360 or X is equal to 18.

27
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And now all here I can let me take these two angles, three, six and seven x ray, seven excuse me,

28
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Tenex and X is 18.

29
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So these two angles are supplementary, right?

30
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Similarly, six X plus forex is 10x and that is also equal to 180 10x is equal to ten into eighteen.

31
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That's 180.

32
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So we have two sets of angles that are supplementary.

33
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So yes, we have two sites that are parallel.

34
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Right.

35
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Six X plus four X is 180.

36
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So this line and this line is Spradlin.

37
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Similarly, seven and 3x adds up to 180 degrees.

38
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Therefore, these two lines are parallel.

39
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And hence the correct answer to this question is it's a tropism.
