Question

Trapezoids:

Answer 1

As AB is parallel to CD.
so <A +<D = 180
use this to get the value of <A ,by putting <D = <A/2

Answer 2

180-90=90
90/2=45
a=2(45)
I hope its clear

Answer 3

@Mokeira no, you are wrong.

Answer 4

@mikurout there are many ways to it..im right

Answer 5

@Mokeira . so are you saying <A = 90 ?

Answer 6

theoretically that is wrong but according to the information given, yes

Answer 7

Actually, i assumed the perpendicular bisects angle A...im wromg. @mikurout

Answer 8

@Mokeira . That can't bisect <A.

Answer 9

u r right

Answer 10

@wgary .Did you get the ans.?

Answer 11

I'm not sure if we can assume that the trapezoid is like this: , because I feel like the wording of the problem makes it sound like the trapezoid is like:

Answer 12

This is the trapezoid ,according to your question.Because it is the abcd trapezoid.2nd one is the abdc trapezoid.

Answer 13

@wgary . Is it clear?

Answer 14

The solution if it were the trapezoid you described was very obvious, I get understand that one, but I'm pretty sure the trapezoid looks like how I drew it the second time.

Answer 15

i have not understood

Answer 16

@Mokeira . what doubt you have?

Answer 17

how do you find the value of angle A

Answer 18

@wgary . So will I provide you to the solution for the 2nd diagram?

Answer 19

@Mokeira In 1st case
<A+<D = 180
<A +<A/2 = 180 ( as it is given that <A = 2<D . so <D = <A/2)
so (3*<A)/2 = 180
3*<A = 360
<A = 120

Answer 20

@wgary . For the 2nd case you have
<A+<C = 180
so 2<D+3<B = 180 (this is your 1st equation )
Again <B +<D = 180 ( due to AB parallel CD) (this is 2nd eq.)
solve these two equation to get the values of <B and <D .
then find 2<D = <A .

Answer 21

@mikurout THANK YOU soooo much. i have understood very well

Answer 22

@Mokeira . That's sounds good.

Answer 23

@wgary .What happen to you?
Where is your doubt?

Answer 24

Ah, sorry, went for food, let me read over it :)

Answer 25

Ok.

Answer 26

If you try to solve for <D and <B, you get 360 and 180, respectively, which won't work.

Answer 27

360 and -180*

Answer 28

Yes,I am looking into it.

Answer 29

@wgary . From this I have cleared that this condition is valid for 1st diagrm.
Because if you will look into the 2nd diagram , you can be sure that <A = 2<D and <C = 3<B , these two conditions couldn't be satisfied simultaneously.

Answer 30

Ah, okay, then it must be the first diagram, let me try the answer for that.

Answer 31

yes do it.

Answer 32

It is correct thank you, sorry for using some extra time

Answer 33

@wgary . It's ok. You have understood, that is sufficient.