Question

Use three or more sentence to explain why a triangle can not have more than one obtuse angle.

Answer 1

OK, do you already know how the sum of angles in a triangle is 180 degrees?

Answer 2

yes

Answer 3

Yes, so if you have, suppose, two obtuse angles, then both angles will be more than 90 degrees.

Answer 4

Let's say that both obtuse angles are \(90 + x\), okay?

Answer 5

... then,\[90 + x + 90 + x + \angle 3 = 180\]Angle 3 is the third angle which is acute.

Answer 6

\[180 + x + \angle 3 = 180 \]Now,\[x + \angle 3 = 0\]We already know that \(x\) and \(\angle 3\) are positive... but two positive numbers CANNOT ADD UP TO ZERO!

Answer 7

Therefore, this is a contradiction.

Answer 8

ooo okayyy

Answer 9

There's a simpler way to say that.

Answer 10

If you have two obtuse angles (obtuse > 90º) then you have two angles together which add up to more than 180º leaving no room for the third angle.
Now engage in some pleonasm and find a way to say that in at least three sentences.