Which inequality is false?

Question

anonymous · Answer

attachment

anonymous · Answer

i think its the second one, but not sure

lgbasallote · Answer

i think you can judge by looking..

lgbasallote · Answer

<7 looks like a right angle... <10  is acute

hartnn · Answer

see,any exterior angle is sum of two interior angle,so it will be greater than one of the interior angle,since angle 2 is interior angle and angle 4 is exterior,it cannot be greater...so 4th option...

lgbasallote · Answer

so $\angle 7 > \angle  10$ is right

anonymous · Answer

4th?

anonymous · Answer

^ I was going to say too but you can't do that when the figure says is not drawn to scale or something like that right?

anonymous · Answer

fourth one

lgbasallote · Answer

scale is just based on the length...the angles stay the same

lgbasallote · Answer

so you can still do it even if the drawing is not to scale

hartnn · Answer

u got it?angles 11,7,1 are exterior,so they are greater....so as angle 4 so it should be greater than 2..

anonymous · Answer

i got it

lgbasallote · Answer

not always are exterior angles greater...
|dw:1344597167416:dw|

hartnn · Answer

sorry,but exterior angles are always greater Than 'INTERIOR' angles...1 and 2 here are adjacent angles...

lgbasallote · Answer

so you're saying angle 2 is not an interior angle?

lgbasallote · Answer

it is true though that exterior angles are greater than the *remote* interior angle

hartnn · Answer

yes yes remote....i m sorry if i missed remote...and this applies to triangles,not quadrilaterals,as u drawn...

lgbasallote · Answer

that was why i was making it clear that it's not always the case =))