Question

What is the value of X? The photo is attached

Answer 1

X is a variable it has no known value

Answer 2

Gabby: Please be sure you've shared everything that was in the original question.

Answer 3

thanks for the illustration. Now it's so much clearer what you're asking!

Answer 4

my bad that makes a little more sense

Answer 5

Gabby: What do you know about this triangle (how would you characterize or describe it?)?
One angle of the triangle is known. How would you go about finding the other two angles, based upon your answer to my question, above?

Answer 6

@mathmale Well it looks like an equilateral triangle because of the 21 on the sides of the triangle. To find X I would have to subtract 180 by 46 and then i would get the rest of the amount of the triangle. But how can I find just x?

Answer 7

http://www.mathsisfun.com/geometry/triangles-interactive.html <--- notice your triangle, 2 sides are equal to each other, 21 and 21

thus is an scalene triangle
pick that in the triangle buttons at http://www.mathsisfun.com/geometry/triangles-interactive.html and move about the sides... notice the angles

as you move the legs/sides, 2 angles seem to always remain equal to each other

Answer 8

jdoe: I'm wondering whether "isosceles" would be a better descriptor here than "scalene."

Answer 9

So gabigurl: If those 2 sides are =, then what can you say about the two unknown angles?

Answer 10

gabigurl: were this an equilateral triangle, all the angles and all the sides would be =.

Answer 11

Unfortunately, this is not an equilateral triangle.

Answer 12

hmm well, .... I'd think so =)

Answer 13

jdoe: Please see http://www.mathopenref.com/scalene.html
I didn't know myself what "scalene" means, so had to do an Internet search. So we're in the same boat.

Answer 14

hmmm shoot I did say scalene dohh

Answer 15

I meant to say .. isosceles darn it heheh, =)

Answer 16

So is it a scalene triangle or isosceles

Answer 17

is an isosceles, 2 sides are equal, 21 and 21

Answer 18

I just typed the wrong name =), clicked the right button, but just typed the wrong name

Answer 19

Would that be right ^

Answer 20

jdoe: :) :) :) :)

Answer 21

so anyhow.... click on "isosceles", notice that when 2 sides are equal, 2 angles seem to persist being equal too

move the legs about in the triangle

Answer 22

Rather than talk about right or wrong, I'd like to ask you aonother question: If those two sides are = (both are 21), then what can you say about the two angles opposite these sides?

Answer 23

That they're equal? @mathmale

Answer 24

Absolutely right!
So, 2x+46=???

Answer 25

\(\bf 46^o+\square +\square =180^o\implies 46^o+2\square =180^o\implies 2\square =180^o-46^o\\ \quad \\
\square =\cfrac{180^o-46^o}{2}\)

Answer 26

x=23

Answer 27

notice the sum below the isosceles triangle on the page, it shows the sum as you move the triangle

Answer 28

I'm confused again... Does x=23 or not

Answer 29

or is it 67 like it says on the website @Jordan7 @mathmale

Answer 30

i was summoned?