¢αη ѕσмєσηє ρℓєαѕє єχρℓαιη нσω тσ ƒιgυяє тнιѕ συт?
тнαηкѕ!
(ﾉ^ヮ^)ﾉ*:･ﾟ✧*:･ﾟ✧

Question

¢αη ѕσмєσηє ρℓєαѕє єχρℓαιη нσω тσ ƒιgυяє тнιѕ συт? 
тнαηкѕ! 
(ﾉ^ヮ^)ﾉ*:･ﾟ✧*:･ﾟ✧

whitemonsterbunny17 · Answer

Provide a counterexample to show that the statement is false.

If the measure of angle AOB = 75 and the measure of angle BOC =15, then the measure of angle AOC= 90.

whitemonsterbunny17 · Answer

I know what a counterexample is, I just don't know how to prove the statement as false.

mathmath333 · Answer

|dw:1413053028173:dw|

whitemonsterbunny17 · Answer

How does that prove the statement is false, though?

mathmath333 · Answer

|dw:1413053237896:dw|

mathmath333 · Answer

COMPARE THIS TWO

whitemonsterbunny17 · Answer

I'm not really getting it.. 
Can you try to explain it with words? I know it's a pain, but it'd be a big help.

mathmath333 · Answer

there can be two cases
1.)angle AOB=angle AOC +angle BOC

2.)angle AOC=angle AOB +angle BOC

In first case
$\large\tt \color{black}{75\neq 75+15}$

but in second case

$\large\tt \color{black}{90= 75+15}$

whitemonsterbunny17 · Answer

I think I understand now, thanks!! :3

mathmath333 · Answer

yw