Question

Help with more Geometry please?
Thanks! ^.^

Answer 1

In quadrilateral ABCD, the measure of angle A=x, the measure of angle B=2x, the measure of angle C=3x, and the measure of angle D= 4x. Find the value of x and then state which pair of sides of ABCD must be parallel.

Answer 2

well, you should know the sum of all the anlges in a quadrilateral add up to 360

so
x+2x+3x+4x=360
solve for x now

Answer 3

x+2x+3x+4x
quadrilateral interior angles add up to 360

Answer 4

So 10x=360
Divide 10x from both sides to get 36
Is that right?

Answer 5

yes

Answer 6

so x=36

Answer 7

But what sides are parallel?

Answer 8

How do I find out which sides are parallel?

Answer 9

The angles are 36, 72, 108 and 144
Put those values into quadrilateral ABCD

Answer 10

The last two are parallel?

Answer 11

Did you try drawing quadrilateral ABCD and putting the angles into it?

Answer 12

No, I don't know how to do that. .-.

Answer 13

im thinking the shape looks something like this but im not sure

Answer 14

Here is a start

Answer 15

Oh, so AC is parallel to BD?

Answer 16

The parallel sides would have angles that add up to 180 degrees.

Answer 17

parallel is having the same distance between

Answer 18

So AB is parallel to CD?

Answer 19

yes

Answer 20

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Answer 21

np :)

Answer 22

No I'll have to redraw that,

Answer 23

Awe, it's okay, you don't have to re-draw it. I visualized it. ^.^
But thanks again, you're awesome!! :3

Answer 24

It seems that no sides are parallel.