Question

How would I solve the problem in the picture.

Answer 1

May I help?

Answer 2

Yes please :)

Answer 3

Thank you.

Answer 4

You're welcome. :) heh

Answer 5

First off, BD is normal and bisects AC.
That means that AD=DC
ok?

Answer 6

Yes I understand.

Answer 7

Then we can conclude that there are two congruent triangles.

Answer 8

So x would be 60

Answer 9

x=60?

Answer 10

Are you sure?

Answer 11

So x doesn't equal 60?

Answer 12

Not quite. Since the other angle is equal to 60 as well we can find what x equals in the expression `3x`...

\(\huge\bf{3x=60}\)

Answer 13

Oh okay I see..

Answer 14

I agree that the 2 triangles in question are congruent.
Thus angle DAB equals angle BCD. The first angle is 60 degrees and the second is 3x degrees.

Solve for x.

Answer 15

So what ever times 3 equals x? Correct?

Answer 16

@3mar I believe Ivitt was confused due to the fact for the angle of DCB you had put `x` instead of `3x`

Answer 17

Correct :) So to find x you would divide by 3 from each side and find x :)

Answer 18

So I multiply and divide or do I just divide. @563blackghost

Answer 19

ohhhhh sorry
My mistake

Answer 20

That's okay 3mar :)

Answer 21

You would divide since what we are trying to find `x` is being multiplied by 3...we work backwards basically to get x to itself... so we divide by 3 from each side to isolate x and we divide 60 by 3 as well ;)

Answer 22

SOOOOOOOOOOOORRRRRRRRRYYYYYYYYYYY

Answer 23

All's good 3mar ;)

Answer 24

Thanks seriously! I enjoy the help :)

Answer 25

So 20 is the answer :)

Answer 26

\(\huge\rlap{\color{red}{\checkmark}}{\color{green}{\;\checkmark}}\)

Answer 27

Okay yay! As I sadi before thanks for the help and explanation, it really helps :)

Answer 28

@Ivitt
The medal belongs to 563blackghost !
She deserves it!

Answer 29

Your very welcome ;) And nicely explained 3mar :)

Answer 30

Thank you for learning!!