Question

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Answer 1

Sum of angles of opposite sides in a quadrilateral=?

Answer 2

@mathmale ,let him answer my question first

Answer 3

First, let's review terminology:

What's a quadrilateral?

I've done an Internet search and have come up with the following:

https://www.google.com/search?q=quadrilateral&rlz=1C1CHFX_enUS461US461&oq=quadrilateral&aqs=chrome..69i57j0l5.5293j0j7&sourceid=chrome&espv=210&es_sm=122&ie=UTF-8

Now take a look at the following, to learn something interesting about the sum of the interior angles of a polygon (a quadrilateral is a 4-sided polygon).

http://www.mathsisfun.com/geometry/interior-angles-polygons.html

I'm not sure this will fully answer your question, but at least it's a start in that direction.

Good luck.

Answer 4

wait so your asking me to tell you the sides? on this problem?

Answer 5

No. I'm providing you with reference material that may help you to find your own solution.

@DLS responded to your question before I did, with a question of his own, so would you please correspond with him and see whether you two can arrive at a satisfactory solution to your homework problem.

Answer 6

yeah @DLS opposite sides are parallel and opposite angles are equal.

Answer 7

If you are correct,then
7x+4=5x-4
x=?

Answer 8

All you can know from the name "quadrilateral" is that it has four sides. You cannot say that its opposite sides have = lengths. But musa has posted an illustration of a specific quadrilateral which is symmetric about the x-axis, BUT does NOT have opposite sides that are parallel. So plese think up a new description.

Answer 9

-4?

Answer 10

so do u think opposite angles are really equal?
can x be -4
?

Answer 11

I'll let you two discuss this. Invite me back into the discussion if you need to.

Answer 12

The sum of the opposite angles in a cyclic quadrilateral is 180.

Answer 13

7x+4+5x-4=180
x=?

Answer 14

so then no they can't be

Answer 15

x would equal 15

Answer 16

so now your angles are?
7x+4=
5x-4=

Answer 17

7(15)+4 is -4/7?!

Answer 18

oooh never mind it would be 109

Answer 19

and other would be 71

Answer 20

and total would equal to 180

Answer 21

now sum of all angles in quadrilateral=360
X is given ...solve

Answer 22

The key to solving this problem is to recognize that the sum of all four interior angles of this figure MUST be 360 degrees. If angle X is 102 degrees, then angle Z is also 102 degrees. Adding 102 and 102 results in what sum?

Subtract that sum from 360.

The result is the value of (7x+4)+(5x-4). Solve for x!

Answer 23

actually u already got x=15

Answer 24

I'd suggest that you check your result.

The sum of the four interior angles of this quadrilateral must be 360 degrees.

Therefore, 360 degrees = 102 degrees + 102 degrees + (7x+4) + (5x-4).

substitute your x=15 degrees and determine whether or not the above equation is true.

Answer 25

Got it would be B x would be 13 on here

Answer 26

Have you checked your answer? Is my equation now true or false?

Answer 27

yes i did
102+102=204
wy = 156 + 204 =360

Answer 28

7(13)+4 + 5(13)-4 + 204 = 360
is true. Therefore, x=13 degrees. Congrats!

Answer 29

yes its true