Question

Given: <1 = (x + 7), <2 = (2x - 3), 12 years ago

Answer 1

@Compassionate

Answer 2

can i help?

Answer 3

yeah sure!

Answer 4

ok. so you know that angle ABC equals x^2 right?

Answer 5

Yes

Answer 6

and you know that if you add angle 1 and angle 2, you get angle ABC

Answer 7

so that means (x+7)+(2x-3)=x^2

Answer 8

Ok

Answer 9

now solve for x. then when you find that x, you can find x^2. then you use the x (not x^2!) to figure out what 5x-4 is. when you do those, you can see if x^2 is equal to 5x-4. if they are, then you have proven that they are congruent angles

Answer 10

Ok so its 3x + 10 =x^2
So do you subtract 10 from both sides?

Answer 11

be careful there! its -3 not +3.

Answer 12

so 3x + 4 = x^2.

Answer 13

Oh! Ok So now do I subtract 4 from both sides

Answer 14

yup, you subtract the 4, but you also subtract the 3x. so you will get x^2 - 3x - 4 = 0.

Answer 15

then you use the quadratic formula to solve for x. do you remember the quadratic formula?

Answer 16

Why would you also substract the 3x

Answer 17

subtract*

Answer 18

because it has an x^2, you have to solve by using the quadratic formula

Answer 19

oh ok

Answer 20

you remember the quadratic formula, right?

Answer 21

yeah give me a second to figure the problem out

Answer 22

ok

Answer 23

Wait so A is 1, b is 3, and c is -4? then i plug that into the equation?

Answer 24

b is -3

Answer 25

yeah sorry i meant -3

Answer 26

yup, you plug the a, b, c into the equation

Answer 27

So x = 4, -1

Answer 28

right. but if you have -1, you will end up with a negative angle, so we cant have that. So the answer is 4. So x^2 is 16, right? which means angle ABC is 16. now angle D is 5x-4. plug 4 in for that, what do you get?

Answer 29

16

Answer 30

right. so if 16 = 16, you just figured it out! congratulations!

Answer 31

Thanks so much for your help!

Answer 32

no problem, anytime!
by the way, Lady gaga is more weird than awesome :P

Answer 33

Haha she has her own unique style

Answer 34

lol